319628372 has 72 divisors (see below), whose sum is σ = 686455560. Its totient is φ = 129642240.

The previous prime is 319628347. The next prime is 319628389. The reversal of 319628372 is 273826913.

It can be written as a sum of positive squares in 4 ways, for example, as 101888836 + 217739536 = 10094^2 + 14756^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 300722 + ... + 301782.

It is an arithmetic number, because the mean of its divisors is an integer number (9534105).

Almost surely, 2^319628372 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 319628372, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (343227780).

319628372 is an abundant number, since it is smaller than the sum of its proper divisors (366827188).

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

319628372 is a wasteful number, since it uses less digits than its factorization.

319628372 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1161 (or 1152 counting only the distinct ones).

The product of its digits is 108864, while the sum is 41.

The square root of 319628372 is about 17878.1534840710. The cubic root of 319628372 is about 683.7254948789.

The spelling of 319628372 in words is "three hundred nineteen million, six hundred twenty-eight thousand, three hundred seventy-two".