393035328 has 140 divisors (see below), whose sum is σ = 1331642752. Its totient is φ = 112285440.

The previous prime is 393035309. The next prime is 393035459. The reversal of 393035328 is 823530393.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 393035292 and 393035301.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 30873 + ... + 41703.

Almost surely, 2^393035328 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 393035328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (665821376).

393035328 is an abundant number, since it is smaller than the sum of its proper divisors (938607424).

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

393035328 is a wasteful number, since it uses less digits than its factorization.

393035328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10862 (or 10843 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 36.

The square root of 393035328 is about 19825.1186125077. The cubic root of 393035328 is about 732.5048922006.

The spelling of 393035328 in words is "three hundred ninety-three million, thirty-five thousand, three hundred twenty-eight".