87610287528 has 160 divisors (see below), whose sum is σ = 256320979200. Its totient is φ = 27905150592.

The previous prime is 87610287503. The next prime is 87610287547. The reversal of 87610287528 is 82578201678.

87610287528 is a `hidden beast` number, since 8 + 7 + 6 + 102 + 8 + 7 + 528 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 18314625 + ... + 18319407.

It is an arithmetic number, because the mean of its divisors is an integer number (1602006120).

Almost surely, 2^87610287528 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 87610287528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128160489600).

87610287528 is an abundant number, since it is smaller than the sum of its proper divisors (168710691672).

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

87610287528 is a wasteful number, since it uses less digits than its factorization.

87610287528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6053 (or 6040 counting only the distinct ones).

The product of its (nonzero) digits is 3010560, while the sum is 54.

The spelling of 87610287528 in words is "eighty-seven billion, six hundred ten million, two hundred eighty-seven thousand, five hundred twenty-eight".