113617728 has 280 divisors, whose sum is σ = 401263104. Its totient is φ = 31104000.

The previous prime is 113617709. The next prime is 113617781. The reversal of 113617728 is 827716311.

113617728 is a `hidden beast` number, since 1 + 13 + 617 + 7 + 28 = 666.

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

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

Its product of digits (14112) is a multiple of the sum of its prime divisors (144).

It is a junction number, because it is equal to n+sod(n) for n = 113617692 and 113617701.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1124878 + ... + 1124978.

Almost surely, 2^113617728 is an apocalyptic number.

113617728 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 113617728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200631552).

113617728 is an abundant number, since it is smaller than the sum of its proper divisors (287645376).

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

113617728 is a wasteful number, since it uses less digits than its factorization.

113617728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 163 (or 144 counting only the distinct ones).

The product of its digits is 14112, while the sum is 36.

The square root of 113617728 is about 10659.1616931164. The cubic root of 113617728 is about 484.3381740605.

The spelling of 113617728 in words is "one hundred thirteen million, six hundred seventeen thousand, seven hundred twenty-eight".