113728 has 14 divisors (see below), whose sum is σ = 225806. Its totient is φ = 56832.

The previous prime is 113723. The next prime is 113731. The reversal of 113728 is 827311.

It can be written as a sum of positive squares in only one way, i.e., 97344 + 16384 = 312^2 + 128^2 .

It is a junction number, because it is equal to n+sod(n) for n = 113699 and 113708.

It is not an unprimeable number, because it can be changed into a prime (113723) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 825 + ... + 952.

It is an arithmetic number, because the mean of its divisors is an integer number (16129).

2¹¹³⁷²⁸ is an apocalyptic number.

It is an amenable number.

113728 is a deficient number, since it is larger than the sum of its proper divisors (112078).

113728 is an equidigital number, since it uses as much as digits as its factorization.

113728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1789 (or 1779 counting only the distinct ones).

The product of its digits is 336, while the sum is 22.

The square root of 113728 is about 337.2358225337. The cubic root of 113728 is about 48.4494815313.

It can be divided in two parts, 113 and 728, that added together give a square (841 = 29²).

The spelling of 113728 in words is "one hundred thirteen thousand, seven hundred twenty-eight".