113628 has 24 divisors (see below), whose sum is σ = 281232. Its totient is φ = 35584.

The previous prime is 113623. The next prime is 113647. The reversal of 113628 is 826311.

It is a super-2 number, since 2×113628² = 25822644768, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113621) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 75 + ... + 482.

It is an arithmetic number, because the mean of its divisors is an integer number (11718).

2¹¹³⁶²⁸ is an apocalyptic number.

It is an amenable number.

113628 is an abundant number, since it is smaller than the sum of its proper divisors (167604).

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

113628 is a wasteful number, since it uses less digits than its factorization.

113628 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 581 (or 579 counting only the distinct ones).

The product of its digits is 288, while the sum is 21.

The square root of 113628 is about 337.0875257259. The cubic root of 113628 is about 48.4352769705.

Adding to 113628 its reverse (826311), we get a palindrome (939939).

It can be divided in two parts, 113 and 628, that added together give a triangular number (741 = T₃₈).

The spelling of 113628 in words is "one hundred thirteen thousand, six hundred twenty-eight".