314428872 has 128 divisors (see below), whose sum is σ = 895795200. Its totient is φ = 91358208.

The previous prime is 314428867. The next prime is 314428903. The reversal of 314428872 is 278824413.

It is a self number, because there is not a number n which added to its sum of digits gives 314428872.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 363913 + ... + 364775.

It is an arithmetic number, because the mean of its divisors is an integer number (6998400).

Almost surely, 2^314428872 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 314428872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (447897600).

314428872 is an abundant number, since it is smaller than the sum of its proper divisors (581366328).

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

314428872 is a wasteful number, since it uses less digits than its factorization.

314428872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 955 (or 951 counting only the distinct ones).

The product of its digits is 86016, while the sum is 39.

The square root of 314428872 is about 17732.1423409581. The cubic root of 314428872 is about 679.9977450906.

The spelling of 314428872 in words is "three hundred fourteen million, four hundred twenty-eight thousand, eight hundred seventy-two".