385838928 has 60 divisors (see below), whose sum is σ = 1136653440. Its totient is φ = 121843008.

The previous prime is 385838891. The next prime is 385839019. The reversal of 385838928 is 829838583.

385838928 is a `hidden beast` number, since 38 + 583 + 8 + 9 + 28 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 67776 + ... + 73247.

It is an arithmetic number, because the mean of its divisors is an integer number (18944224).

Almost surely, 2^385838928 is an apocalyptic number.

385838928 is a gapful number since it is divisible by the number (38) formed by its first and last digit.

It is an amenable number.

385838928 is an abundant number, since it is smaller than the sum of its proper divisors (750814512).

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

385838928 is a wasteful number, since it uses less digits than its factorization.

385838928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141056 (or 141047 counting only the distinct ones).

The product of its digits is 3317760, while the sum is 54.

The square root of 385838928 is about 19642.7831021981. The cubic root of 385838928 is about 728.0066517124.

The spelling of 385838928 in words is "three hundred eighty-five million, eight hundred thirty-eight thousand, nine hundred twenty-eight".