128800824 has 64 divisors (see below), whose sum is σ = 332259840. Its totient is φ = 41583360.

The previous prime is 128800817. The next prime is 128800843. The reversal of 128800824 is 428008821.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 140929 + ... + 141839.

It is an arithmetic number, because the mean of its divisors is an integer number (5191560).

Almost surely, 2^128800824 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 128800824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166129920).

128800824 is an abundant number, since it is smaller than the sum of its proper divisors (203459016).

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

128800824 is a wasteful number, since it uses less digits than its factorization.

128800824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1100 (or 1096 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 33.

The square root of 128800824 is about 11349.0450699607. The cubic root of 128800824 is about 505.0172513141.

The spelling of 128800824 in words is "one hundred twenty-eight million, eight hundred thousand, eight hundred twenty-four".