393928 has 16 divisors (see below), whose sum is σ = 757260. Its totient is φ = 192000.

The previous prime is 393919. The next prime is 393929. The reversal of 393928 is 829393.

393928 is nontrivially palindromic in base 7.

It can be written as a sum of positive squares in 2 ways, for example, as 248004 + 145924 = 498^2 + 382^2 .

It is an Ulam number.

It is a junction number, because it is equal to n+sod(n) for n = 393893 and 393902.

It is not an unprimeable number, because it can be changed into a prime (393929) by changing a digit.

393928 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 273 + ... + 928.

2³⁹³⁹²⁸ is an apocalyptic number.

It is an amenable number.

393928 is a deficient number, since it is larger than the sum of its proper divisors (363332).

393928 is a wasteful number, since it uses less digits than its factorization.

393928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1248 (or 1244 counting only the distinct ones).

The product of its digits is 11664, while the sum is 34.

The square root of 393928 is about 627.6368376697. The cubic root of 393928 is about 73.3059034236.

The spelling of 393928 in words is "three hundred ninety-three thousand, nine hundred twenty-eight".