113628288 has 64 divisors (see below), whose sum is σ = 302940000. Its totient is φ = 37736448.

The previous prime is 113628283. The next prime is 113628311. The reversal of 113628288 is 882826311.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×113628288² = 25822775667621888, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (113628283) by changing a digit.

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, 191320 + ... + 191912.

Almost surely, 2^113628288 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 113628288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151470000).

113628288 is an abundant number, since it is smaller than the sum of its proper divisors (189311712).

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

113628288 is an equidigital number, since it uses as much as digits as its factorization.

113628288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1109 (or 1097 counting only the distinct ones).

The product of its digits is 36864, while the sum is 39.

The square root of 113628288 is about 10659.6570301300. The cubic root of 113628288 is about 484.3531789157.

The spelling of 113628288 in words is "one hundred thirteen million, six hundred twenty-eight thousand, two hundred eighty-eight".