319728 has 20 divisors (see below), whose sum is σ = 826088. Its totient is φ = 106560.

The previous prime is 319727. The next prime is 319729. The reversal of 319728 is 827913.

It is a happy number.

319728 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (319727) and next prime (319729).

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 319695 and 319704.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 319728.

It is not an unprimeable number, because it can be changed into a prime (319727) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3283 + ... + 3378.

2³¹⁹⁷²⁸ is an apocalyptic number.

It is an amenable number.

319728 is an abundant number, since it is smaller than the sum of its proper divisors (506360).

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

319728 is a wasteful number, since it uses less digits than its factorization.

319728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6672 (or 6666 counting only the distinct ones).

The product of its digits is 3024, while the sum is 30.

The square root of 319728 is about 565.4449575334. Note that the first 3 decimals coincide. The cubic root of 319728 is about 68.3796526462.

It can be divided in two parts, 319 and 728, that multiplied together give a palindrome (232232).

The spelling of 319728 in words is "three hundred nineteen thousand, seven hundred twenty-eight".