314220928 has 128 divisors (see below), whose sum is σ = 774792000. Its totient is φ = 126443520.

The previous prime is 314220913. The next prime is 314220953. The reversal of 314220928 is 829022413.

It is a tau number, because it is divible by the number of its divisors (128).

It is a self number, because there is not a number n which added to its sum of digits gives 314220928.

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 15 ways as a sum of consecutive naturals, for example, 746158 + ... + 746578.

Almost surely, 2^314220928 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 314220928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (387396000).

314220928 is an abundant number, since it is smaller than the sum of its proper divisors (460571072).

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

314220928 is an equidigital number, since it uses as much as digits as its factorization.

314220928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 473 (or 447 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 31.

The square root of 314220928 is about 17726.2778946963. The cubic root of 314220928 is about 679.8478090779.

The spelling of 314220928 in words is "three hundred fourteen million, two hundred twenty thousand, nine hundred twenty-eight".