313417728 has 224 divisors, whose sum is σ = 1009192800. Its totient is φ = 95551488.

The previous prime is 313417717. The next prime is 313417771. The reversal of 313417728 is 827714313.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 313417692 and 313417701.

It is a congruent number.

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, 2875338 + ... + 2875446.

It is an arithmetic number, because the mean of its divisors is an integer number (4505325).

Almost surely, 2^313417728 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 313417728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (504596400).

313417728 is an abundant number, since it is smaller than the sum of its proper divisors (695775072).

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

313417728 is a wasteful number, since it uses less digits than its factorization.

313417728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157 (or 127 counting only the distinct ones).

The product of its digits is 28224, while the sum is 36.

The square root of 313417728 is about 17703.6077679099. The cubic root of 313417728 is about 679.2680474719.

The spelling of 313417728 in words is "three hundred thirteen million, four hundred seventeen thousand, seven hundred twenty-eight".