87913728 has 288 divisors, whose sum is σ = 313958400. Its totient is φ = 23721984.

The previous prime is 87913699. The next prime is 87913753. The reversal of 87913728 is 82731978.

It is a tau number, because it is divible by the number of its divisors (288).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1112793 + ... + 1112871.

Almost surely, 2^87913728 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 87913728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156979200).

87913728 is an abundant number, since it is smaller than the sum of its proper divisors (226044672).

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

87913728 is a wasteful number, since it uses less digits than its factorization.

87913728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134 (or 114 counting only the distinct ones).

The product of its digits is 169344, while the sum is 45.

The square root of 87913728 is about 9376.2320790390. The cubic root of 87913728 is about 444.6506166408.

The spelling of 87913728 in words is "eighty-seven million, nine hundred thirteen thousand, seven hundred twenty-eight".