393788928 has 240 divisors, whose sum is σ = 1195142256. Its totient is φ = 115015680.

The previous prime is 393788917. The next prime is 393788947. The reversal of 393788928 is 829887393.

Its product of digits (5225472) is a multiple of the sum of its prime divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9604588 + ... + 9604628.

Almost surely, 2^393788928 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 393788928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (597571128).

393788928 is an abundant number, since it is smaller than the sum of its proper divisors (801353328).

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

393788928 is a wasteful number, since it uses less digits than its factorization.

393788928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125 (or 96 counting only the distinct ones).

The product of its digits is 5225472, while the sum is 57.

The square root of 393788928 is about 19844.1157021420. The cubic root of 393788928 is about 732.9727579062.

It can be divided in two parts, 393788 and 928, that added together give a triangular number (394716 = T₈₈₈).

The spelling of 393788928 in words is "three hundred ninety-three million, seven hundred eighty-eight thousand, nine hundred twenty-eight".