314288688 has 80 divisors (see below), whose sum is σ = 930575360. Its totient is φ = 89538048.

The previous prime is 314288647. The next prime is 314288717. The reversal of 314288688 is 886882413.

It is a super-2 number, since 2×314288688² = 197554758809522688, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 136281 + ... + 138567.

It is an arithmetic number, because the mean of its divisors is an integer number (11632192).

Almost surely, 2^314288688 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 314288688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (465287680).

314288688 is an abundant number, since it is smaller than the sum of its proper divisors (616286672).

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

314288688 is a wasteful number, since it uses less digits than its factorization.

314288688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2714 (or 2708 counting only the distinct ones).

The product of its digits is 589824, while the sum is 48.

The square root of 314288688 is about 17728.1890784141. The cubic root of 314288688 is about 679.8966740351.

The spelling of 314288688 in words is "three hundred fourteen million, two hundred eighty-eight thousand, six hundred eighty-eight".