112833280 has 144 divisors (see below), whose sum is σ = 316411200. Its totient is φ = 38535168.

The previous prime is 112833263. The next prime is 112833283. The reversal of 112833280 is 82338211.

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (112833283) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 438912 + ... + 439168.

It is an arithmetic number, because the mean of its divisors is an integer number (2197300).

Almost surely, 2^112833280 is an apocalyptic number.

112833280 is a gapful number since it is divisible by the number (10) 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 112833280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158205600).

112833280 is an abundant number, since it is smaller than the sum of its proper divisors (203577920).

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

112833280 is an frugal number, since it uses more digits than its factorization.

112833280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 299 (or 271 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 28.

The square root of 112833280 is about 10622.3010689775. The cubic root of 112833280 is about 483.2209309238.

The spelling of 112833280 in words is "one hundred twelve million, eight hundred thirty-three thousand, two hundred eighty".