87632928 has 60 divisors (see below), whose sum is σ = 257733630. Its totient is φ = 29210112.

The previous prime is 87632927. The next prime is 87632929. The reversal of 87632928 is 82923678.

87632928 is a `hidden beast` number, since 8 + 7 + 632 + 9 + 2 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (87632927) and next prime (87632929).

It can be written as a sum of positive squares in only one way, i.e., 72795024 + 14837904 = 8532^2 + 3852^2 .

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (87632927) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 14313 + ... + 19496.

Almost surely, 2^87632928 is an apocalyptic number.

It is an amenable number.

87632928 is an abundant number, since it is smaller than the sum of its proper divisors (170100702).

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

87632928 is a wasteful number, since it uses less digits than its factorization.

87632928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33831 (or 33814 counting only the distinct ones).

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

The square root of 87632928 is about 9361.2460709032. The cubic root of 87632928 is about 444.1767010340.

The spelling of 87632928 in words is "eighty-seven million, six hundred thirty-two thousand, nine hundred twenty-eight".