128920800 has 72 divisors (see below), whose sum is σ = 419645016. Its totient is φ = 34378240.

The previous prime is 128920793. The next prime is 128920801. The reversal of 128920800 is 8029821.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (128920801) 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, 24459 + ... + 29258.

It is an arithmetic number, because the mean of its divisors is an integer number (5828403).

Almost surely, 2^128920800 is an apocalyptic number.

128920800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

128920800 is an abundant number, since it is smaller than the sum of its proper divisors (290724216).

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

128920800 is a wasteful number, since it uses less digits than its factorization.

128920800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53740 (or 53727 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 30.

The square root of 128920800 is about 11354.3295706968. The cubic root of 128920800 is about 505.1740079370.

The spelling of 128920800 in words is "one hundred twenty-eight million, nine hundred twenty thousand, eight hundred".