382193856 has 112 divisors (see below), whose sum is σ = 1225783680. Its totient is φ = 115810560.

The previous prime is 382193843. The next prime is 382193869. The reversal of 382193856 is 658391283.

It is a happy number.

382193856 is a `hidden beast` number, since 382 + 193 + 85 + 6 = 666.

382193856 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (382193843) and next prime (382193869).

It is an unprimeable number.

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, 8955 + ... + 29061.

Almost surely, 2^382193856 is an apocalyptic number.

382193856 is a gapful number since it is divisible by the number (36) 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 382193856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (612891840).

382193856 is an abundant number, since it is smaller than the sum of its proper divisors (843589824).

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

382193856 is a wasteful number, since it uses less digits than its factorization.

382193856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20139 (or 20123 counting only the distinct ones).

The product of its digits is 311040, while the sum is 45.

The square root of 382193856 is about 19549.7789245812. The cubic root of 382193856 is about 725.7068688884.

The spelling of 382193856 in words is "three hundred eighty-two million, one hundred ninety-three thousand, eight hundred fifty-six".