112828224 has 56 divisors (see below), whose sum is σ = 300126400. Its totient is φ = 37407744.

The previous prime is 112828217. The next prime is 112828229. The reversal of 112828224 is 422828211.

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 = 112828191 and 112828200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112828229) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 36732 + ... + 39684.

It is an arithmetic number, because the mean of its divisors is an integer number (5359400).

Almost surely, 2^112828224 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 112828224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150063200).

112828224 is an abundant number, since it is smaller than the sum of its proper divisors (187298176).

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

112828224 is a wasteful number, since it uses less digits than its factorization.

112828224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3167 (or 3157 counting only the distinct ones).

The product of its digits is 4096, while the sum is 30.

The square root of 112828224 is about 10622.0630764461. The cubic root of 112828224 is about 483.2137131906.

The spelling of 112828224 in words is "one hundred twelve million, eight hundred twenty-eight thousand, two hundred twenty-four".