128813312 has 72 divisors (see below), whose sum is σ = 275204160. Its totient is φ = 59996160.

The previous prime is 128813309. The next prime is 128813327. The reversal of 128813312 is 213318821.

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 7 ways as a sum of consecutive naturals, for example, 345158 + ... + 345530.

It is an arithmetic number, because the mean of its divisors is an integer number (3822280).

Almost surely, 2^128813312 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 128813312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137602080).

128813312 is an abundant number, since it is smaller than the sum of its proper divisors (146390848).

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

128813312 is an equidigital number, since it uses as much as digits as its factorization.

128813312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 479 (or 465 counting only the distinct ones).

The product of its digits is 2304, while the sum is 29.

The square root of 128813312 is about 11349.5952350734. The cubic root of 128813312 is about 505.0335722542.

The spelling of 128813312 in words is "one hundred twenty-eight million, eight hundred thirteen thousand, three hundred twelve".