396928 has 32 divisors (see below), whose sum is σ = 905760. Its totient is φ = 169728.

The previous prime is 396919. The next prime is 396931. The reversal of 396928 is 829693.

It is a tau number, because it is divible by the number of its divisors (32).

It is a nialpdrome in base 9.

It is an unprimeable number.

396928 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, 675 + ... + 1117.

It is an arithmetic number, because the mean of its divisors is an integer number (28305).

2³⁹⁶⁹²⁸ 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 396928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (452880).

396928 is an abundant number, since it is smaller than the sum of its proper divisors (508832).

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

396928 is an equidigital number, since it uses as much as digits as its factorization.

396928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 464 (or 452 counting only the distinct ones).

The product of its digits is 23328, while the sum is 37.

The square root of 396928 is about 630.0222218303. The cubic root of 396928 is about 73.4915226158.

The spelling of 396928 in words is "three hundred ninety-six thousand, nine hundred twenty-eight".