87318528 has 224 divisors, whose sum is σ = 283098240. Its totient is φ = 23592960.

The previous prime is 87318521. The next prime is 87318529. The reversal of 87318528 is 82581378.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 87318528.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87318521) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4595703 + ... + 4595721.

Almost surely, 2^87318528 is an apocalyptic number.

87318528 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 87318528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141549120).

87318528 is an abundant number, since it is smaller than the sum of its proper divisors (195779712).

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

87318528 is a wasteful number, since it uses less digits than its factorization.

87318528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76 (or 52 counting only the distinct ones).

The product of its digits is 107520, while the sum is 42.

The square root of 87318528 is about 9344.4383458825. The cubic root of 87318528 is about 443.6448747074.

The spelling of 87318528 in words is "eighty-seven million, three hundred eighteen thousand, five hundred twenty-eight".