1728

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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:
$1728 = 96 \times 18 = 96 \times \paren {1 + 7 + 2 + 8}$


Also see


Historical Note

There are $12^3 = 1728$ cubic inches in $1$ cubic foot.


Sources