288

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


 * $2^5 \times 3^2$


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


 * The $30$th highly abundant number after $1, 2, 3, 4, 6, 8, 10, 12, 16, 18, 20, 24, 30, 36, 42, 48, 60, 72, 84, 90, 96, 108, 120, 144, 168, 180, 210, 216, 240$:
 * $\sigma \left({288}\right) = 819$


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


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


 * The 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.

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