384076928 has 64 divisors (see below), whose sum is σ = 799761600. Its totient is φ = 183493632.

The previous prime is 384076879. The next prime is 384076951. The reversal of 384076928 is 829670483.

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 396701 + ... + 397667.

It is an arithmetic number, because the mean of its divisors is an integer number (12496275).

Almost surely, 2^384076928 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 384076928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (399880800).

384076928 is an abundant number, since it is smaller than the sum of its proper divisors (415684672).

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

384076928 is a wasteful number, since it uses less digits than its factorization.

384076928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1117 (or 1105 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 47.

The square root of 384076928 is about 19597.8807017494. The cubic root of 384076928 is about 726.8967712021.

The spelling of 384076928 in words is "three hundred eighty-four million, seventy-six thousand, nine hundred twenty-eight".