87007128 has 64 divisors (see below), whose sum is σ = 240612960. Its totient is φ = 26044416.

The previous prime is 87007097. The next prime is 87007147. The reversal of 87007128 is 82170078.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7776 + ... + 15312.

Almost surely, 2^87007128 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 87007128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120306480).

87007128 is an abundant number, since it is smaller than the sum of its proper divisors (153605832).

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

87007128 is a wasteful number, since it uses less digits than its factorization.

87007128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7596 (or 7592 counting only the distinct ones).

The product of its (nonzero) digits is 6272, while the sum is 33.

The square root of 87007128 is about 9327.7611461701. The cubic root of 87007128 is about 443.1168631827.

The spelling of 87007128 in words is "eighty-seven million, seven thousand, one hundred twenty-eight".