111479328 has 120 divisors (see below), whose sum is σ = 336174300. Its totient is φ = 36218880.

The previous prime is 111479323. The next prime is 111479339. The reversal of 111479328 is 823974111.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 111260304 + 219024 = 10548^2 + 468^2 .

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 = 111479292 and 111479301.

It is not an unprimeable number, because it can be changed into a prime (111479323) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 105748 + ... + 106796.

Almost surely, 2^111479328 is an apocalyptic number.

111479328 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 111479328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168087150).

111479328 is an abundant number, since it is smaller than the sum of its proper divisors (224694972).

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

111479328 is a wasteful number, since it uses less digits than its factorization.

111479328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1112 (or 1095 counting only the distinct ones).

The product of its digits is 12096, while the sum is 36.

The square root of 111479328 is about 10558.3771480280. The cubic root of 111479328 is about 481.2803318601.

The spelling of 111479328 in words is "one hundred eleven million, four hundred seventy-nine thousand, three hundred twenty-eight".