313840128 has 240 divisors, whose sum is σ = 1025095104. Its totient is φ = 83558400.

The previous prime is 313840123. The next prime is 313840133. The reversal of 313840128 is 821048313.

It is an interprime number because it is at equal distance from previous prime (313840123) and next prime (313840133).

It is a junction number, because it is equal to n+sod(n) for n = 313840095 and 313840104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (313840123) 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, 3107278 + ... + 3107378.

Almost surely, 2^313840128 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 313840128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (512547552).

313840128 is an abundant number, since it is smaller than the sum of its proper divisors (711254976).

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

313840128 is a wasteful number, since it uses less digits than its factorization.

313840128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 163 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 313840128 is about 17715.5335228720. The cubic root of 313840128 is about 679.5730653406.

The spelling of 313840128 in words is "three hundred thirteen million, eight hundred forty thousand, one hundred twenty-eight".