287928000 has 448 divisors, whose sum is σ = 1115811840. Its totient is φ = 72576000.

The previous prime is 287927999. The next prime is 287928023. The reversal of 287928000 is 829782.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6695979 + ... + 6696021.

Almost surely, 2^287928000 is an apocalyptic number.

287928000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 287928000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (557905920).

287928000 is an abundant number, since it is smaller than the sum of its proper divisors (827883840).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

287928000 is a wasteful number, since it uses less digits than its factorization.

287928000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 287928000 is about 16968.4412955345. The cubic root of 287928000 is about 660.3304130715.

287928000 divided by its sum of digits (36) gives a triangular number (7998000 = T₃₉₉₉).

The spelling of 287928000 in words is "two hundred eighty-seven million, nine hundred twenty-eight thousand".