382928634 has 96 divisors (see below), whose sum is σ = 951035904. Its totient is φ = 114508080.

The previous prime is 382928629. The next prime is 382928653. The reversal of 382928634 is 436829283.

382928634 = T₄₇₇ + T₄₇₈ + ... + T₁₃₃₉.

382928634 is a `hidden beast` number, since 3 + 8 + 2 + 9 + 2 + 8 + 634 = 666.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 382928634.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 443287 + ... + 444149.

It is an arithmetic number, because the mean of its divisors is an integer number (9906624).

Almost surely, 2^382928634 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 382928634, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (475517952).

382928634 is an abundant number, since it is smaller than the sum of its proper divisors (568107270).

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

382928634 is a wasteful number, since it uses less digits than its factorization.

382928634 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 974 (or 962 counting only the distinct ones).

The product of its digits is 497664, while the sum is 45.

The square root of 382928634 is about 19568.5623897107. The cubic root of 382928634 is about 726.1716348523.

The spelling of 382928634 in words is "three hundred eighty-two million, nine hundred twenty-eight thousand, six hundred thirty-four".