287960832 has 126 divisors (see below), whose sum is σ = 862359512. Its totient is φ = 95924736.

The previous prime is 287960821. The next prime is 287960833. The reversal of 287960832 is 238069782.

287960832 is a `hidden beast` number, since 2 + 8 + 7 + 9 + 608 + 32 = 666.

It is a super-2 number, since 2×287960832² = 165842881532264448, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (287960833) by changing a digit.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 185853 + ... + 187395.

Almost surely, 2^287960832 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 287960832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (431179756).

287960832 is an abundant number, since it is smaller than the sum of its proper divisors (574398680).

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

287960832 is an frugal number, since it uses more digits than its factorization.

287960832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1577 (or 1548 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 287960832 is about 16969.4087109716. The cubic root of 287960832 is about 660.3555109479.

The spelling of 287960832 in words is "two hundred eighty-seven million, nine hundred sixty thousand, eight hundred thirty-two".