288

Number
$288$ (two hundred and eighty-eight) is:


 * $2^5 \times 3^2$


 * The smaller of the $2$nd pair of consecutive powerful numbers:
 * $288 = 2^5 \times 3^2$, $289 = 17^2$


 * The $4$th superfactorial after $1$, $2$, $12$:
 * $288 = 4\$ = 4! \times 3! \times 2! \times 1!$


 * The $4$th positive integer after $128$, $192$, $256$ with $7$ or more prime factors:
 * $288 = 2 \times 2 \times 2 \times 2 \times 2 \times 3 \times 3$


 * The $8$th pentagonal pyramidal number after $1$, $6$, $12$, $40$, $75$, $126$, $196$:
 * $288 = 1 + 5 + 12 + 22 + 35 + 51 + 70 + 92 = \dfrac {8^2 \paren {8 + 1} } 2$


 * The $11$th positive integer after $64$, $96$, $128$, $144$, $160$, $192$, $216$, $224$, $240$, $256$ with $6$ or more prime factors:
 * $288 = 2 \times 2 \times 2 \times 2 \times 2 \times 3 \paren {\times \, 3}$


 * The $20$th untouchable number after $2$, $5$, $52$, $88$, $96$, $120$, $124$, $146$, $162$, $188$, $206$, $210$, $216$, $238$, $246$, $248$, $262$, $268$, $276$


 * The $28$th powerful number after $1$, $4$, $8$, $9$, $16$, $25$, $\ldots$, $144$, $169$, $196$, $200$, $216$, $225$, $243$, $256$


 * The $30$th highly abundant number after $1$, $2$, $3$, $4$, $6$, $8$, $10$, $\ldots$, $120$, $144$, $168$, $180$, $210$, $216$, $240$:
 * $\map \sigma {288} = 819$


 * The product of the number of edges, edges per face and faces of a cube.


 * The product of the number of edges, edges per face and faces of a regular octahedron.


 * The smallest integer multiple of $9$ all of whose digits are even:
 * $288 = 32 \times 9$

Also see

 * Product of Number of Edges, Edges per Face and Faces of Cube
 * Product of Number of Edges, Edges per Face and Faces of Regular Octahedron
 * Smallest Multiple of 9 with all Digits Even