393913728 has 192 divisors, whose sum is σ = 1264208400. Its totient is φ = 116895744.

The previous prime is 393913711. The next prime is 393913763. The reversal of 393913728 is 827319393.

It is a tau number, because it is divible by the number of its divisors (192).

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, 433851 + ... + 434757.

Almost surely, 2^393913728 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 393913728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (632104200).

393913728 is an abundant number, since it is smaller than the sum of its proper divisors (870294672).

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

393913728 is a wasteful number, since it uses less digits than its factorization.

393913728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 969 (or 954 counting only the distinct ones).

The product of its digits is 244944, while the sum is 45.

The square root of 393913728 is about 19847.2599620199. The cubic root of 393913728 is about 733.0501812261.

The spelling of 393913728 in words is "three hundred ninety-three million, nine hundred thirteen thousand, seven hundred twenty-eight".