128862720 has 480 divisors, whose sum is σ = 551536128. Its totient is φ = 27131904.

The previous prime is 128862707. The next prime is 128862751. The reversal of 128862720 is 27268821.

It is a happy number.

128862720 is a `hidden beast` number, since 1 + 2 + 8 + 8 + 627 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2741737 + ... + 2741783.

Almost surely, 2^128862720 is an apocalyptic number.

128862720 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 128862720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275768064).

128862720 is an abundant number, since it is smaller than the sum of its proper divisors (422673408).

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

128862720 is a wasteful number, since it uses less digits than its factorization.

128862720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 128862720 is about 11351.7716678940. The cubic root of 128862720 is about 505.0981347044.

The spelling of 128862720 in words is "one hundred twenty-eight million, eight hundred sixty-two thousand, seven hundred twenty".