384164928 has 84 divisors (see below), whose sum is σ = 1258458240. Its totient is φ = 109760256.

The previous prime is 384164917. The next prime is 384164939. The reversal of 384164928 is 829461483.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (384164917) and next prime (384164939).

It is a tau number, because it is divible by the number of its divisors (84).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 43608 + ... + 51671.

Almost surely, 2^384164928 is an apocalyptic number.

It is an amenable number.

384164928 is an abundant number, since it is smaller than the sum of its proper divisors (874293312).

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

384164928 is a wasteful number, since it uses less digits than its factorization.

384164928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95304 (or 95291 counting only the distinct ones).

The product of its digits is 331776, while the sum is 45.

The square root of 384164928 is about 19600.1257138826. The cubic root of 384164928 is about 726.9522826777.

The spelling of 384164928 in words is "three hundred eighty-four million, one hundred sixty-four thousand, nine hundred twenty-eight".