382392768 has 56 divisors (see below), whose sum is σ = 1016650240. Its totient is φ = 126846720.

The previous prime is 382392763. The next prime is 382392797. The reversal of 382392768 is 867293283.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (382392763) 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, 35793 + ... + 45231.

Almost surely, 2^382392768 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 382392768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (508325120).

382392768 is an abundant number, since it is smaller than the sum of its proper divisors (634257472).

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

382392768 is a wasteful number, since it uses less digits than its factorization.

382392768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9665 (or 9655 counting only the distinct ones).

The product of its digits is 870912, while the sum is 48.

The square root of 382392768 is about 19554.8655837876. The cubic root of 382392768 is about 725.8327445988.

It can be divided in two parts, 3823927 and 68, that added together give a triangular number (3823995 = T₂₇₆₅).

The spelling of 382392768 in words is "three hundred eighty-two million, three hundred ninety-two thousand, seven hundred sixty-eight".