393395728 has 40 divisors (see below), whose sum is σ = 839606976. Its totient is φ = 177072000.

The previous prime is 393395713. The next prime is 393395731. The reversal of 393395728 is 827593393.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7278 + ... + 28978.

Almost surely, 2^393395728 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 393395728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (419803488).

393395728 is an abundant number, since it is smaller than the sum of its proper divisors (446211248).

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

393395728 is a wasteful number, since it uses less digits than its factorization.

393395728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21823 (or 21817 counting only the distinct ones).

The product of its digits is 1224720, while the sum is 49.

The square root of 393395728 is about 19834.2060088122. The cubic root of 393395728 is about 732.7287178078.

The spelling of 393395728 in words is "three hundred ninety-three million, three hundred ninety-five thousand, seven hundred twenty-eight".