314848128 has 192 divisors, whose sum is σ = 1008147600. Its totient is φ = 86704128.

The previous prime is 314848123. The next prime is 314848139. The reversal of 314848128 is 821848413.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (192).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (314848123) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 545376 + ... + 545952.

Almost surely, 2^314848128 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 314848128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (504073800).

314848128 is an abundant number, since it is smaller than the sum of its proper divisors (693299472).

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

314848128 is a wasteful number, since it uses less digits than its factorization.

314848128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 637 (or 618 counting only the distinct ones).

The product of its digits is 49152, while the sum is 39.

The square root of 314848128 is about 17743.9603245724. The cubic root of 314848128 is about 680.2998446966.

The spelling of 314848128 in words is "three hundred fourteen million, eight hundred forty-eight thousand, one hundred twenty-eight".