128928800 has 432 divisors, whose sum is σ = 448846272. Its totient is φ = 35481600.

The previous prime is 128928791. The next prime is 128928827. The reversal of 128928800 is 8829821.

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 71 ways as a sum of consecutive naturals, for example, 5605589 + ... + 5605611.

It is an arithmetic number, because the mean of its divisors is an integer number (1038996).

Almost surely, 2^128928800 is an apocalyptic number.

128928800 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 128928800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224423136).

128928800 is an abundant number, since it is smaller than the sum of its proper divisors (319917472).

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

128928800 is a wasteful number, since it uses less digits than its factorization.

128928800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81 (or 61 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 38.

The square root of 128928800 is about 11354.6818537553. The cubic root of 128928800 is about 505.1844570098.

The spelling of 128928800 in words is "one hundred twenty-eight million, nine hundred twenty-eight thousand, eight hundred".