128800320 has 112 divisors (see below), whose sum is σ = 446154048. Its totient is φ = 31221760.

The previous prime is 128800289. The next prime is 128800333. The reversal of 128800320 is 23008821.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4462 + ... + 16658.

Almost surely, 2^128800320 is an apocalyptic number.

128800320 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 128800320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223077024).

128800320 is an abundant number, since it is smaller than the sum of its proper divisors (317353728).

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

128800320 is a wasteful number, since it uses less digits than its factorization.

128800320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12228 (or 12218 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 128800320 is about 11349.0228654277. The cubic root of 128800320 is about 505.0165925993.

The spelling of 128800320 in words is "one hundred twenty-eight million, eight hundred thousand, three hundred twenty".