87528384 has 112 divisors (see below), whose sum is σ = 264464800. Its totient is φ = 28387584.

The previous prime is 87528379. The next prime is 87528391. The reversal of 87528384 is 48382578.

The cubic root of 87528384 is 444.

It is a perfect power (a cube), and thus also a powerful number.

It is a super-2 number, since 2×87528384² = 15322436011302912, which contains 22 as substring.

Its product of digits (430080) is a multiple of the sum of its prime divisors (42).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2365614 + ... + 2365650.

Almost surely, 2^87528384 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 87528384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132232400).

87528384 is an abundant number, since it is smaller than the sum of its proper divisors (176936416).

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

87528384 is an frugal number, since it uses more digits than its factorization.

87528384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132 (or 42 counting only the distinct ones).

The product of its digits is 430080, while the sum is 45.

The square root of 87528384 is about 9355.6605325332.

The spelling of 87528384 in words is "eighty-seven million, five hundred twenty-eight thousand, three hundred eighty-four".