113428512 has 144 divisors (see below), whose sum is σ = 346731840. Its totient is φ = 36433152.

The previous prime is 113428501. The next prime is 113428519. The reversal of 113428512 is 215824311.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (113428519) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 225253 + ... + 225755.

It is an arithmetic number, because the mean of its divisors is an integer number (2407860).

Almost surely, 2^113428512 is an apocalyptic number.

113428512 is a gapful number since it is divisible by the number (12) 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 113428512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173365920).

113428512 is an abundant number, since it is smaller than the sum of its proper divisors (233303328).

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

113428512 is an equidigital number, since it uses as much as digits as its factorization.

113428512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 557 (or 537 counting only the distinct ones).

The product of its digits is 1920, while the sum is 27.

The square root of 113428512 is about 10650.2822497810. The cubic root of 113428512 is about 484.0691566140.

It can be divided in two parts, 1134 and 28512, that added together give a triangular number (29646 = T₂₄₃).

The spelling of 113428512 in words is "one hundred thirteen million, four hundred twenty-eight thousand, five hundred twelve".