288 (number)
288 is a pentagonal pyramidal number, is 4 superfactorial since 288 = 1!·2!·3!·4!
288 is an untouchable number, a Harshad number in base 10 and base 12, an Achilles number, a 3-smooth number and a self number.
Both 288 and 289 are powerful numbers.
288 is sum of the sequence of integers 1..4 to the second tetration since 288 = 1 + 4 + 27 + 256 = 11 + 22 + 33 + 44.
288 is the number of labelled pointed rooted trees with up to 4 nodes, the number of maximal directed Pseudoforests on up to 4 vertices, the number of Endofunctions for all sets with ≤ 4 points, and is two dozen sets of a dozen, thus being two gross and being 200 in base 12, often told as a pun in maths classes.
