128928400 has 60 divisors (see below), whose sum is σ = 311875252. Its totient is φ = 51217920.

The previous prime is 128928377. The next prime is 128928407. The reversal of 128928400 is 4829821.

It can be written as a sum of positive squares in 6 ways, for example, as 7311616 + 121616784 = 2704^2 + 11028^2 .

It is not an unprimeable number, because it can be changed into a prime (128928407) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 61774 + ... + 63826.

Almost surely, 2^128928400 is an apocalyptic number.

128928400 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 128928400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155937626).

128928400 is an abundant number, since it is smaller than the sum of its proper divisors (182946852).

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

128928400 is a wasteful number, since it uses less digits than its factorization.

128928400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2228 (or 2217 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 34.

The square root of 128928400 is about 11354.6642398620. The cubic root of 128928400 is about 505.1839345664.

The spelling of 128928400 in words is "one hundred twenty-eight million, nine hundred twenty-eight thousand, four hundred".