314691328 has 54 divisors (see below), whose sum is σ = 730738176. Its totient is φ = 134862336.

The previous prime is 314691227. The next prime is 314691337. The reversal of 314691328 is 823196413.

314691328 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

314691328 is a nontrivial binomial coefficient, being equal to C(25088, 2).

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 5 ways as a sum of consecutive naturals, for example, 1 + ... + 25087.

Almost surely, 2^314691328 is an apocalyptic number.

314691328 is the 25087-th triangular number and also the 12544-th hexagonal number.

314691328 is the 8363-rd centered nonagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 314691328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (365369088).

314691328 is an abundant number, since it is smaller than the sum of its proper divisors (416046848).

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

314691328 is an equidigital number, since it uses as much as digits as its factorization.

314691328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25117 (or 25096 counting only the distinct ones).

The product of its digits is 31104, while the sum is 37.

The square root of 314691328 is about 17739.5413694943. The cubic root of 314691328 is about 680.1868921129.

The spelling of 314691328 in words is "three hundred fourteen million, six hundred ninety-one thousand, three hundred twenty-eight".