128528920 has 64 divisors (see below), whose sum is σ = 327852000. Its totient is φ = 44955648.

The previous prime is 128528909. The next prime is 128528951. The reversal of 128528920 is 29825821.

It is a self number, because there is not a number n which added to its sum of digits gives 128528920.

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, 3376 + ... + 16384.

Almost surely, 2^128528920 is an apocalyptic number.

128528920 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 128528920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163926000).

128528920 is an abundant number, since it is smaller than the sum of its proper divisors (199323080).

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

128528920 is a wasteful number, since it uses less digits than its factorization.

128528920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13052 (or 13048 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 37.

The square root of 128528920 is about 11337.0595835075. The cubic root of 128528920 is about 504.6616300101.

The spelling of 128528920 in words is "one hundred twenty-eight million, five hundred twenty-eight thousand, nine hundred twenty".