128800920 has 96 divisors (see below), whose sum is σ = 404132400. Its totient is φ = 32837376.

The previous prime is 128800909. The next prime is 128800927. The reversal of 128800920 is 29008821.

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 (128800927) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 62466 + ... + 64494.

Almost surely, 2^128800920 is an apocalyptic number.

128800920 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 128800920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202066200).

128800920 is an abundant number, since it is smaller than the sum of its proper divisors (275331480).

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

128800920 is a wasteful number, since it uses less digits than its factorization.

128800920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2089 (or 2062 counting only the distinct ones).

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

The square root of 128800920 is about 11349.0492993907. The cubic root of 128800920 is about 505.0173767834.

The spelling of 128800920 in words is "one hundred twenty-eight million, eight hundred thousand, nine hundred twenty".