313768728 has 320 divisors, whose sum is σ = 1148938560. Its totient is φ = 77635584.

The previous prime is 313768727. The next prime is 313768729. The reversal of 313768728 is 827867313.

It is an interprime number because it is at equal distance from previous prime (313768727) and next prime (313768729).

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 (313768723) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1002300 + ... + 1002612.

It is an arithmetic number, because the mean of its divisors is an integer number (3590433).

Almost surely, 2^313768728 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 313768728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (574469280).

313768728 is an abundant number, since it is smaller than the sum of its proper divisors (835169832).

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

313768728 is a wasteful number, since it uses less digits than its factorization.

313768728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 368 (or 355 counting only the distinct ones).

The product of its digits is 338688, while the sum is 45.

The square root of 313768728 is about 17713.5182276136. The cubic root of 313768728 is about 679.5215261517.

It can be divided in two parts, 31376 and 8728, that added together give a palindrome (40104).

The spelling of 313768728 in words is "three hundred thirteen million, seven hundred sixty-eight thousand, seven hundred twenty-eight".