87528528 has 30 divisors (see below), whose sum is σ = 244958714. Its totient is φ = 29176128.

The previous prime is 87528517. The next prime is 87528559. The reversal of 87528528 is 82582578.

It can be written as a sum of positive squares in only one way, i.e., 55175184 + 32353344 = 7428^2 + 5688^2 .

It is a super-2 number, since 2×87528528² = 15322486427693568, which contains 22 as substring.

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 a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 303775 + ... + 304062.

Almost surely, 2^87528528 is an apocalyptic number.

It is an amenable number.

87528528 is an abundant number, since it is smaller than the sum of its proper divisors (157430186).

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

87528528 is a wasteful number, since it uses less digits than its factorization.

87528528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 607851 (or 607842 counting only the distinct ones).

The product of its digits is 358400, while the sum is 45.

The square root of 87528528 is about 9355.6682284057. The cubic root of 87528528 is about 444.0002434866. Note that the first 3 decimals are identical.

It can be divided in two parts, 875 and 28528, that added together give a triangular number (29403 = T₂₄₂).

The spelling of 87528528 in words is "eighty-seven million, five hundred twenty-eight thousand, five hundred twenty-eight".