319828488 has 144 divisors (see below), whose sum is σ = 964481040. Its totient is φ = 88119360.

The previous prime is 319828471. The next prime is 319828507. The reversal of 319828488 is 884828913.

It is a happy number.

It is a super-2 number, since 2×319828488² = 204580523472732288, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 319828488.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1129995 + ... + 1130277.

It is an arithmetic number, because the mean of its divisors is an integer number (6697785).

Almost surely, 2^319828488 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 319828488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (482240520).

319828488 is an abundant number, since it is smaller than the sum of its proper divisors (644652552).

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

319828488 is a wasteful number, since it uses less digits than its factorization.

319828488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 368 (or 326 counting only the distinct ones).

The product of its digits is 884736, while the sum is 51.

The square root of 319828488 is about 17883.7492713357. The cubic root of 319828488 is about 683.8681562510.

It can be divided in two parts, 31982 and 8488, that added together give a triangular number (40470 = T₂₈₄).

The spelling of 319828488 in words is "three hundred nineteen million, eight hundred twenty-eight thousand, four hundred eighty-eight".