87056928 has 216 divisors, whose sum is σ = 298771200. Its totient is φ = 23950080.

The previous prime is 87056903. The next prime is 87056929. The reversal of 87056928 is 82965078.

87056928 is a `hidden beast` number, since 87 + 0 + 569 + 2 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (87056929) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 437373 + ... + 437571.

It is an arithmetic number, because the mean of its divisors is an integer number (1383200).

Almost surely, 2^87056928 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 87056928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149385600).

87056928 is an abundant number, since it is smaller than the sum of its proper divisors (211714272).

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

87056928 is a wasteful number, since it uses less digits than its factorization.

87056928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 260 (or 242 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The square root of 87056928 is about 9330.4302151616. The cubic root of 87056928 is about 443.2013888664.

The spelling of 87056928 in words is "eighty-seven million, fifty-six thousand, nine hundred twenty-eight".