128808400 has 120 divisors (see below), whose sum is σ = 357030720. Its totient is φ = 43745280.

The previous prime is 128808397. The next prime is 128808457. The reversal of 128808400 is 4808821.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 501072 + ... + 501328.

It is an arithmetic number, because the mean of its divisors is an integer number (2975256).

Almost surely, 2^128808400 is an apocalyptic number.

128808400 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 128808400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178515360).

128808400 is an abundant number, since it is smaller than the sum of its proper divisors (228222320).

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

128808400 is a wasteful number, since it uses less digits than its factorization.

128808400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 461 (or 450 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 31.

The square root of 128808400 is about 11349.3788376281. The cubic root of 128808400 is about 505.0271527406.

The spelling of 128808400 in words is "one hundred twenty-eight million, eight hundred eight thousand, four hundred".