319928 has 32 divisors (see below), whose sum is σ = 712800. Its totient is φ = 131712.

The previous prime is 319927. The next prime is 319931. The reversal of 319928 is 829913.

It is a junction number, because it is equal to n+sod(n) for n = 319894 and 319903.

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 319928.

It is not an unprimeable number, because it can be changed into a prime (319927) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1526 + ... + 1722.

It is an arithmetic number, because the mean of its divisors is an integer number (22275).

2³¹⁹⁹²⁸ 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 319928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (356400).

319928 is an abundant number, since it is smaller than the sum of its proper divisors (392872).

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

319928 is a wasteful number, since it uses less digits than its factorization.

319928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 239 (or 235 counting only the distinct ones).

The product of its digits is 3888, while the sum is 32.

The square root of 319928 is about 565.6217817588. The cubic root of 319928 is about 68.3939075544.

The spelling of 319928 in words is "three hundred nineteen thousand, nine hundred twenty-eight".