112628448 has 96 divisors (see below), whose sum is σ = 334041120. Its totient is φ = 36910080.

The previous prime is 112628441. The next prime is 112628449. The reversal of 112628448 is 844826211.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112628441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 51636 + ... + 53772.

It is an arithmetic number, because the mean of its divisors is an integer number (3479595).

Almost surely, 2^112628448 is an apocalyptic number.

112628448 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 112628448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167020560).

112628448 is an abundant number, since it is smaller than the sum of its proper divisors (221412672).

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

112628448 is a wasteful number, since it uses less digits than its factorization.

112628448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2217 (or 2203 counting only the distinct ones).

The product of its digits is 24576, while the sum is 36.

The square root of 112628448 is about 10612.6550872060. The cubic root of 112628448 is about 482.9283486167.

The spelling of 112628448 in words is "one hundred twelve million, six hundred twenty-eight thousand, four hundred forty-eight".