111880328 has 48 divisors (see below), whose sum is σ = 245162700. Its totient is φ = 47725440.

The previous prime is 111880319. The next prime is 111880331. The reversal of 111880328 is 823088111.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 108201604 + 3678724 = 10402^2 + 1918^2 .

It is a junction number, because it is equal to n+sod(n) for n = 111880294 and 111880303.

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 11 ways as a sum of consecutive naturals, for example, 104918 + ... + 105978.

Almost surely, 2^111880328 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 111880328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122581350).

111880328 is an abundant number, since it is smaller than the sum of its proper divisors (133282372).

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

111880328 is a wasteful number, since it uses less digits than its factorization.

111880328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1350 (or 1339 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 32.

The square root of 111880328 is about 10577.3497625823. The cubic root of 111880328 is about 481.8567091839.

The spelling of 111880328 in words is "one hundred eleven million, eight hundred eighty thousand, three hundred twenty-eight".