382992768 has 96 divisors (see below), whose sum is σ = 1106679600. Its totient is φ = 127134720.

The previous prime is 382992737. The next prime is 382992769. The reversal of 382992768 is 867299283.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (382992769) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 357738 + ... + 358806.

Almost surely, 2^382992768 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 382992768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (553339800).

382992768 is an abundant number, since it is smaller than the sum of its proper divisors (723686832).

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

382992768 is a wasteful number, since it uses less digits than its factorization.

382992768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1400 (or 1385 counting only the distinct ones).

The product of its digits is 2612736, while the sum is 54.

The square root of 382992768 is about 19570.2010209400. The cubic root of 382992768 is about 726.2121730342.

The spelling of 382992768 in words is "three hundred eighty-two million, nine hundred ninety-two thousand, seven hundred sixty-eight".