385791328 has 96 divisors (see below), whose sum is σ = 868819392. Its totient is φ = 167270400.

The previous prime is 385791323. The next prime is 385791331. The reversal of 385791328 is 823197583.

It is a Harshad number since it is a multiple of its sum of digits (46).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (385791323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 583318 + ... + 583978.

It is an arithmetic number, because the mean of its divisors is an integer number (9050202).

Almost surely, 2^385791328 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 385791328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (434409696).

385791328 is an abundant number, since it is smaller than the sum of its proper divisors (483028064).

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

385791328 is a wasteful number, since it uses less digits than its factorization.

385791328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 768 (or 760 counting only the distinct ones).

The product of its digits is 362880, while the sum is 46.

The square root of 385791328 is about 19641.5714238958. The cubic root of 385791328 is about 727.9767130175.

The spelling of 385791328 in words is "three hundred eighty-five million, seven hundred ninety-one thousand, three hundred twenty-eight".