128657032 has 96 divisors (see below), whose sum is σ = 297823680. Its totient is φ = 51004800.

The previous prime is 128656987. The next prime is 128657047. The reversal of 128657032 is 230756821.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1273782 + ... + 1273882.

It is an arithmetic number, because the mean of its divisors is an integer number (3102330).

Almost surely, 2^128657032 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 128657032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148911840).

128657032 is an abundant number, since it is smaller than the sum of its proper divisors (169166648).

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

128657032 is a wasteful number, since it uses less digits than its factorization.

128657032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203 (or 176 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 34.

The square root of 128657032 is about 11342.7083185631. The cubic root of 128657032 is about 504.8292492029.

The spelling of 128657032 in words is "one hundred twenty-eight million, six hundred fifty-seven thousand, thirty-two".