111881728 has 160 divisors (see below), whose sum is σ = 282839040. Its totient is φ = 43130880.

The previous prime is 111881713. The next prime is 111881741. The reversal of 111881728 is 827188111.

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

Its product of digits (7168) is a multiple of the sum of its prime divisors (112).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2110950 + ... + 2111002.

It is an arithmetic number, because the mean of its divisors is an integer number (1767744).

Almost surely, 2^111881728 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 111881728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141419520).

111881728 is an abundant number, since it is smaller than the sum of its proper divisors (170957312).

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

111881728 is an equidigital number, since it uses as much as digits as its factorization.

111881728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128 (or 112 counting only the distinct ones).

The product of its digits is 7168, while the sum is 37.

The square root of 111881728 is about 10577.4159415237. The cubic root of 111881728 is about 481.8587190593.

The spelling of 111881728 in words is "one hundred eleven million, eight hundred eighty-one thousand, seven hundred twenty-eight".