319328 has 24 divisors (see below), whose sum is σ = 666792. Its totient is φ = 150016.

The previous prime is 319327. The next prime is 319339. The reversal of 319328 is 823913.

It is a junction number, because it is equal to n+sod(n) for n = 319297 and 319306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (319321) 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, 251 + ... + 837.

It is an arithmetic number, because the mean of its divisors is an integer number (27783).

2³¹⁹³²⁸ 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 319328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (333396).

319328 is an abundant number, since it is smaller than the sum of its proper divisors (347464).

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

319328 is a wasteful number, since it uses less digits than its factorization.

319328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 614 (or 606 counting only the distinct ones).

The product of its digits is 1296, while the sum is 26.

The square root of 319328 is about 565.0911430911. The cubic root of 319328 is about 68.3511249859.

The spelling of 319328 in words is "three hundred nineteen thousand, three hundred twenty-eight".