128056320 has 264 divisors, whose sum is σ = 508376544. Its totient is φ = 29196288.

The previous prime is 128056309. The next prime is 128056337. The reversal of 128056320 is 23650821.

128056320 is a `hidden beast` number, since 1 + 2 + 80 + 563 + 20 = 666.

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, 322362 + ... + 322758.

Almost surely, 2^128056320 is an apocalyptic number.

128056320 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 128056320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254188272).

128056320 is an abundant number, since it is smaller than the sum of its proper divisors (380320224).

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

128056320 is a wasteful number, since it uses less digits than its factorization.

128056320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 435 (or 414 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 128056320 is about 11316.1972411230. The cubic root of 128056320 is about 504.0423244879.

It can be divided in two parts, 1280 and 56320, that added together give a square (57600 = 240²).

The spelling of 128056320 in words is "one hundred twenty-eight million, fifty-six thousand, three hundred twenty".