111664728 has 144 divisors (see below), whose sum is σ = 363504960. Its totient is φ = 30844800.

The previous prime is 111664667. The next prime is 111664733. The reversal of 111664728 is 827466111.

It is a happy number.

111664728 is a `hidden beast` number, since 1 + 1 + 1 + 6 + 647 + 2 + 8 = 666.

It is a super-2 number, since 2×111664728² = 24938022958627968, which contains 22 as substring.

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.

It is a junction number, because it is equal to n+sod(n) for n = 111664692 and 111664701.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 108858 + ... + 109878.

It is an arithmetic number, because the mean of its divisors is an integer number (2524340).

Almost surely, 2^111664728 is an apocalyptic number.

111664728 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 111664728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181752480).

111664728 is an abundant number, since it is smaller than the sum of its proper divisors (251840232).

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

111664728 is a wasteful number, since it uses less digits than its factorization.

111664728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1078 (or 1064 counting only the distinct ones).

The product of its digits is 16128, while the sum is 36.

The square root of 111664728 is about 10567.1532590381. The cubic root of 111664728 is about 481.5469880355.

The spelling of 111664728 in words is "one hundred eleven million, six hundred sixty-four thousand, seven hundred twenty-eight".