382991112 has 128 divisors (see below), whose sum is σ = 1255219200. Its totient is φ = 105883200.

The previous prime is 382991093. The next prime is 382991137. The reversal of 382991112 is 211199283.

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 an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 42787 + ... + 50957.

It is an arithmetic number, because the mean of its divisors is an integer number (9806400).

Almost surely, 2^382991112 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 382991112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (627609600).

382991112 is an abundant number, since it is smaller than the sum of its proper divisors (872228088).

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

382991112 is a wasteful number, since it uses less digits than its factorization.

382991112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8224 (or 8214 counting only the distinct ones).

The product of its digits is 7776, while the sum is 36.

The square root of 382991112 is about 19570.1587116712. The cubic root of 382991112 is about 726.2111263573.

The spelling of 382991112 in words is "three hundred eighty-two million, nine hundred ninety-one thousand, one hundred twelve".