384668928 has 432 divisors, whose sum is σ = 1423408896. Its totient is φ = 97320960.

The previous prime is 384668917. The next prime is 384668939. The reversal of 384668928 is 829866483.

It is an interprime number because it is at equal distance from previous prime (384668917) and next prime (384668939).

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

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 6306018 + ... + 6306078.

It is an arithmetic number, because the mean of its divisors is an integer number (3294928).

Almost surely, 2^384668928 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 384668928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (711704448).

384668928 is an abundant number, since it is smaller than the sum of its proper divisors (1038739968).

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

384668928 is a wasteful number, since it uses less digits than its factorization.

384668928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130 (or 113 counting only the distinct ones).

The product of its digits is 3981312, while the sum is 54.

The square root of 384668928 is about 19612.9785601270. The cubic root of 384668928 is about 727.2700488386.

The spelling of 384668928 in words is "three hundred eighty-four million, six hundred sixty-eight thousand, nine hundred twenty-eight".