1728

Number
$1728$ (one thousand, seven hundred and twenty-eight) is:


 * $2^6 \times 3^3$


 * The $3$rd power of $12$ after $(1)$, $12$, $144$:
 * $1728 = 12^3$


 * The $3$rd cube after $6^3$, $9^3$ which can be expressed as the sum of $3$ positive cubes


 * The $12$th cube number after $1$, $8$, $27$, $64$, $125$, $216$, $343$, $512$, $729$, $1000$, $1331$:
 * $1728 = 12 \times 12 \times 12 = \paren {2^2 \times 3}^3$


 * Hence in duodecimal notation:
 * $1000$


 * The $363$rd harshad number:
 * $1728 = 96 \times 18 = 96 \times \paren {1 + 7 + 2 + 8}$