128653920 has 168 divisors, whose sum is σ = 456122016. Its totient is φ = 34276608.

The previous prime is 128653897. The next prime is 128653933. The reversal of 128653920 is 29356821.

It is a super-2 number, since 2×128653920² = 33103662262732800, which contains 22 as substring.

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

It is a congruent number.

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 27 ways as a sum of consecutive naturals, for example, 116089 + ... + 117191.

It is an arithmetic number, because the mean of its divisors is an integer number (2715012).

Almost surely, 2^128653920 is an apocalyptic number.

128653920 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 128653920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228061008).

128653920 is an abundant number, since it is smaller than the sum of its proper divisors (327468096).

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

128653920 is an equidigital number, since it uses as much as digits as its factorization.

128653920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1136 (or 1113 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 128653920 is about 11342.5711370923. The cubic root of 128653920 is about 504.8251788429.

The spelling of 128653920 in words is "one hundred twenty-eight million, six hundred fifty-three thousand, nine hundred twenty".