164928 has 28 divisors (see below), whose sum is σ = 436880. Its totient is φ = 54912.

The previous prime is 164911. The next prime is 164953. The reversal of 164928 is 829461.

Its product of digits (3456) is a multiple of the sum of its prime divisors (864).

It is a junction number, because it is equal to n+sod(n) for n = 164895 and 164904.

It is an unprimeable number.

164928 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, 238 + ... + 621.

2¹⁶⁴⁹²⁸ is an apocalyptic number.

It is an amenable number.

164928 is an abundant number, since it is smaller than the sum of its proper divisors (271952).

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

164928 is an equidigital number, since it uses as much as digits as its factorization.

164928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 874 (or 864 counting only the distinct ones).

The product of its digits is 3456, while the sum is 30.

The square root of 164928 is about 406.1132846879. The cubic root of 164928 is about 54.8400864632.

The spelling of 164928 in words is "one hundred sixty-four thousand, nine hundred twenty-eight".