112828416 has 56 divisors (see below), whose sum is σ = 300922944. Its totient is φ = 37601280.

The previous prime is 112828381. The next prime is 112828427. The reversal of 112828416 is 614828211.

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 22281 + ... + 26871.

It is an arithmetic number, because the mean of its divisors is an integer number (5373624).

Almost surely, 2^112828416 is an apocalyptic number.

112828416 is a gapful number since it is divisible by the number (16) 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 112828416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150461472).

112828416 is an abundant number, since it is smaller than the sum of its proper divisors (188094528).

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

112828416 is an frugal number, since it uses more digits than its factorization.

112828416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4620 (or 4596 counting only the distinct ones).

The product of its digits is 6144, while the sum is 33.

The square root of 112828416 is about 10622.0721142346. The cubic root of 112828416 is about 483.2139872857.

The spelling of 112828416 in words is "one hundred twelve million, eight hundred twenty-eight thousand, four hundred sixteen".