128588992 has 112 divisors (see below), whose sum is σ = 308994048. Its totient is φ = 51932160.

The previous prime is 128588983. The next prime is 128589001. The reversal of 128588992 is 299885821.

It is an interprime number because it is at equal distance from previous prime (128588983) and next prime (128589001).

It is a tau number, because it is divible by the number of its divisors (112).

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, 652638 + ... + 652834.

Almost surely, 2^128588992 is an apocalyptic number.

128588992 is the 9259-th pentagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 128588992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154497024).

128588992 is an abundant number, since it is smaller than the sum of its proper divisors (180405056).

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

128588992 is a wasteful number, since it uses less digits than its factorization.

128588992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 294 (or 284 counting only the distinct ones).

The product of its digits is 829440, while the sum is 52.

The square root of 128588992 is about 11339.7086382323. The cubic root of 128588992 is about 504.7402408825.

The spelling of 128588992 in words is "one hundred twenty-eight million, five hundred eighty-eight thousand, nine hundred ninety-two".