113893128 has 112 divisors (see below), whose sum is σ = 326588400. Its totient is φ = 37208160.

The previous prime is 113893123. The next prime is 113893139. The reversal of 113893128 is 821398311.

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

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 113893092 and 113893101.

It is not an unprimeable number, because it can be changed into a prime (113893123) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 343923 + ... + 344253.

Almost surely, 2^113893128 is an apocalyptic number.

113893128 is a gapful number since it is divisible by the number (18) 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 113893128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163294200).

113893128 is an abundant number, since it is smaller than the sum of its proper divisors (212695272).

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

113893128 is an equidigital number, since it uses as much as digits as its factorization.

113893128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 414 (or 395 counting only the distinct ones).

The product of its digits is 10368, while the sum is 36.

The square root of 113893128 is about 10672.0723385854. The cubic root of 113893128 is about 484.7291902266.

The spelling of 113893128 in words is "one hundred thirteen million, eight hundred ninety-three thousand, one hundred twenty-eight".