128832120 has 160 divisors (see below), whose sum is σ = 458686800. Its totient is φ = 32320512.

The previous prime is 128832101. The next prime is 128832139. The reversal of 128832120 is 21238821.

It is an interprime number because it is at equal distance from previous prime (128832101) and next prime (128832139).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

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, 53911 + ... + 56249.

Almost surely, 2^128832120 is an apocalyptic number.

128832120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 128832120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229343400).

128832120 is an abundant number, since it is smaller than the sum of its proper divisors (329854680).

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

128832120 is a wasteful number, since it uses less digits than its factorization.

128832120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2379 (or 2366 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 128832120 is about 11350.4237806348. The cubic root of 128832120 is about 505.0581510006.

The spelling of 128832120 in words is "one hundred twenty-eight million, eight hundred thirty-two thousand, one hundred twenty".