113329728 has 84 divisors (see below), whose sum is σ = 327241408. Its totient is φ = 37497600.

The previous prime is 113329721. The next prime is 113329729. The reversal of 113329728 is 827923311.

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

It is a junction number, because it is equal to n+sod(n) for n = 113329692 and 113329701.

It is not an unprimeable number, because it can be changed into a prime (113329721) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 86325 + ... + 87627.

Almost surely, 2^113329728 is an apocalyptic number.

113329728 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 113329728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163620704).

113329728 is an abundant number, since it is smaller than the sum of its proper divisors (213911680).

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

113329728 is a wasteful number, since it uses less digits than its factorization.

113329728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1472 (or 1459 counting only the distinct ones).

The product of its digits is 18144, while the sum is 36.

The square root of 113329728 is about 10645.6436160525. The cubic root of 113329728 is about 483.9285917919.

The spelling of 113329728 in words is "one hundred thirteen million, three hundred twenty-nine thousand, seven hundred twenty-eight".