384090928 has 80 divisors (see below), whose sum is σ = 893380320. Its totient is φ = 158035968.

The previous prime is 384090919. The next prime is 384090929. The reversal of 384090928 is 829090483.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (384090929) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 64326 + ... + 70042.

It is an arithmetic number, because the mean of its divisors is an integer number (11167254).

Almost surely, 2^384090928 is an apocalyptic number.

384090928 is a gapful number since it is divisible by the number (38) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 384090928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (446690160).

384090928 is an abundant number, since it is smaller than the sum of its proper divisors (509289392).

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

384090928 is a wasteful number, since it uses less digits than its factorization.

384090928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5774 (or 5768 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 43.

The square root of 384090928 is about 19598.2378799728. The cubic root of 384090928 is about 726.9056031403.

The spelling of 384090928 in words is "three hundred eighty-four million, ninety thousand, nine hundred twenty-eight".