393328 has 40 divisors (see below), whose sum is σ = 861056. Its totient is φ = 172800.

The previous prime is 393311. The next prime is 393331. The reversal of 393328 is 823393.

It is a happy number.

It is a zygodrome in base 2.

It is a junction number, because it is equal to n+sod(n) for n = 393296 and 393305.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6418 + ... + 6478.

2³⁹³³²⁸ 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 393328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (430528).

393328 is an abundant number, since it is smaller than the sum of its proper divisors (467728).

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

393328 is a wasteful number, since it uses less digits than its factorization.

393328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113 (or 107 counting only the distinct ones).

The product of its digits is 3888, while the sum is 28.

The square root of 393328 is about 627.1586721078. The cubic root of 393328 is about 73.2686665920.

It can be divided in two parts, 39332 and 8, that added together give a triangular number (39340 = T₂₈₀).

The spelling of 393328 in words is "three hundred ninety-three thousand, three hundred twenty-eight".