314012928 has 144 divisors (see below), whose sum is σ = 903611520. Its totient is φ = 96509952.

The previous prime is 314012903. The next prime is 314012929. The reversal of 314012928 is 829210413.

It is a super-2 number, since 2×314012928² = 197208237902266368, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 314012895 and 314012904.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (314012929) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 511950 + ... + 512562.

It is an arithmetic number, because the mean of its divisors is an integer number (6275080).

Almost surely, 2^314012928 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 314012928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (451805760).

314012928 is an abundant number, since it is smaller than the sum of its proper divisors (589598592).

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

314012928 is a wasteful number, since it uses less digits than its factorization.

314012928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 684 (or 670 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 314012928 is about 17720.4099275384. The cubic root of 314012928 is about 679.6977664963.

The spelling of 314012928 in words is "three hundred fourteen million, twelve thousand, nine hundred twenty-eight".