111655728 has 90 divisors (see below), whose sum is σ = 332067164. Its totient is φ = 35016192.

The previous prime is 111655727. The next prime is 111655759. The reversal of 111655728 is 827556111.

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 = 111655692 and 111655701.

It is not an unprimeable number, because it can be changed into a prime (111655721) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 40275 + ... + 42957.

Almost surely, 2^111655728 is an apocalyptic number.

111655728 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 111655728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166033582).

111655728 is an abundant number, since it is smaller than the sum of its proper divisors (220411436).

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

111655728 is a wasteful number, since it uses less digits than its factorization.

111655728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2731 (or 2705 counting only the distinct ones).

The product of its digits is 16800, while the sum is 36.

The square root of 111655728 is about 10566.7274025594. The cubic root of 111655728 is about 481.5340503800.

The spelling of 111655728 in words is "one hundred eleven million, six hundred fifty-five thousand, seven hundred twenty-eight".