313187028 has 144 divisors (see below), whose sum is σ = 950781888. Its totient is φ = 79296000.

The previous prime is 313187027. The next prime is 313187033. The reversal of 313187028 is 820781313.

It is a super-2 number, since 2×313187028² = 196172229014945568, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a self number, because there is not a number n which added to its sum of digits gives 313187028.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (313187027) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 264598 + ... + 265778.

It is an arithmetic number, because the mean of its divisors is an integer number (6602652).

Almost surely, 2^313187028 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 313187028, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (475390944).

313187028 is an abundant number, since it is smaller than the sum of its proper divisors (637594860).

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

313187028 is a wasteful number, since it uses less digits than its factorization.

313187028 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1254 (or 1245 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 33.

The square root of 313187028 is about 17697.0909473845. The cubic root of 313187028 is about 679.1013417308.

The spelling of 313187028 in words is "three hundred thirteen million, one hundred eighty-seven thousand, twenty-eight".