314163328 has 64 divisors (see below), whose sum is σ = 665856000. Its totient is φ = 147225600.

The previous prime is 314163323. The next prime is 314163373. The reversal of 314163328 is 823361413.

It is a tau number, because it is divible by the number of its divisors (64).

It is a self number, because there is not a number n which added to its sum of digits gives 314163328.

It is not an unprimeable number, because it can be changed into a prime (314163323) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 244993 + ... + 246271.

It is an arithmetic number, because the mean of its divisors is an integer number (10404000).

Almost surely, 2^314163328 is an apocalyptic number.

314163328 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 314163328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (332928000).

314163328 is an abundant number, since it is smaller than the sum of its proper divisors (351692672).

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

314163328 is a wasteful number, since it uses less digits than its factorization.

314163328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1413 (or 1401 counting only the distinct ones).

The product of its digits is 10368, while the sum is 31.

The square root of 314163328 is about 17724.6531136719. The cubic root of 314163328 is about 679.8062654555.

The spelling of 314163328 in words is "three hundred fourteen million, one hundred sixty-three thousand, three hundred twenty-eight".