113528628 has 42 divisors (see below), whose sum is σ = 297884034. Its totient is φ = 37841904.

The previous prime is 113528627. The next prime is 113528633. The reversal of 113528628 is 826825311.

It is a happy number.

113528628 is a `hidden beast` number, since 1 + 1 + 3 + 5 + 28 + 628 = 666.

It can be written as a sum of positive squares in only one way, i.e., 58798224 + 54730404 = 7668^2 + 7398^2 .

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

It is a plaindrome in base 14.

It is a junction number, because it is equal to n+sod(n) for n = 113528592 and 113528601.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113528627) by changing a digit.

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 13 ways as a sum of consecutive naturals, for example, 16551 + ... + 22382.

It is an arithmetic number, because the mean of its divisors is an integer number (7092477).

Almost surely, 2^113528628 is an apocalyptic number.

113528628 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

113528628 is an abundant number, since it is smaller than the sum of its proper divisors (184355406).

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

113528628 is an equidigital number, since it uses as much as digits as its factorization.

113528628 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38955 (or 38938 counting only the distinct ones).

The product of its digits is 23040, while the sum is 36.

The square root of 113528628 is about 10654.9813702324. The cubic root of 113528628 is about 484.2115335626.

The spelling of 113528628 in words is "one hundred thirteen million, five hundred twenty-eight thousand, six hundred twenty-eight".