87958528 has 66 divisors (see below), whose sum is σ = 204654966. Its totient is φ = 37675008.

The previous prime is 87958517. The next prime is 87958547. The reversal of 87958528 is 82585978.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 51380224 + 36578304 = 7168^2 + 6048^2 .

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, 49300 + ... + 51052.

Almost surely, 2^87958528 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 87958528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102327483).

87958528 is an abundant number, since it is smaller than the sum of its proper divisors (116696438).

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

87958528 is a wasteful number, since it uses less digits than its factorization.

87958528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1787 (or 1762 counting only the distinct ones).

The product of its digits is 1612800, while the sum is 52.

The square root of 87958528 is about 9378.6207941253. The cubic root of 87958528 is about 444.7261337237.

The spelling of 87958528 in words is "eighty-seven million, nine hundred fifty-eight thousand, five hundred twenty-eight".