314885328 has 80 divisors (see below), whose sum is σ = 859468800. Its totient is φ = 99066240.

The previous prime is 314885303. The next prime is 314885353. The reversal of 314885328 is 823588413.

It is an interprime number because it is at equal distance from previous prime (314885303) and next prime (314885353).

It is a self number, because there is not a number n which added to its sum of digits gives 314885328.

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, 345193 + ... + 346103.

It is an arithmetic number, because the mean of its divisors is an integer number (10743360).

Almost surely, 2^314885328 is an apocalyptic number.

314885328 is a gapful number since it is divisible by the number (38) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 314885328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (429734400).

314885328 is an abundant number, since it is smaller than the sum of its proper divisors (544583472).

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

314885328 is a wasteful number, since it uses less digits than its factorization.

314885328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1320 (or 1314 counting only the distinct ones).

The product of its digits is 184320, while the sum is 42.

The square root of 314885328 is about 17745.0085376142. The cubic root of 314885328 is about 680.3266366166.

The spelling of 314885328 in words is "three hundred fourteen million, eight hundred eighty-five thousand, three hundred twenty-eight".