128628800 has 84 divisors (see below), whose sum is σ = 335196180. Its totient is φ = 48414720.

The previous prime is 128628751. The next prime is 128628821. The reversal of 128628800 is 8826821.

It can be written as a sum of positive squares in 6 ways, for example, as 12334144 + 116294656 = 3512^2 + 10784^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 24836 + ... + 29564.

Almost surely, 2^128628800 is an apocalyptic number.

128628800 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 128628800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167598090).

128628800 is an abundant number, since it is smaller than the sum of its proper divisors (206567380).

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

128628800 is a wasteful number, since it uses less digits than its factorization.

128628800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4768 (or 4753 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 35.

The square root of 128628800 is about 11341.4637503278. The cubic root of 128628800 is about 504.7923205776.

The spelling of 128628800 in words is "one hundred twenty-eight million, six hundred twenty-eight thousand, eight hundred".