313028328600 has 384 divisors, whose sum is σ = 1171453147200. Its totient is φ = 76369305600.

The previous prime is 313028328593. The next prime is 313028328647. The reversal of 313028328600 is 6823820313.

313028328600 is a `hidden beast` number, since 3 + 1 + 3 + 0 + 28 + 3 + 28 + 600 = 666.

It is a super-2 number, since 2×313028328600² (a number of 24 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7912870 + ... + 7952330.

Almost surely, 2^313028328600 is an apocalyptic number.

313028328600 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 313028328600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (585726573600).

313028328600 is an abundant number, since it is smaller than the sum of its proper divisors (858424818600).

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

313028328600 is a wasteful number, since it uses less digits than its factorization.

313028328600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39612 (or 39597 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 313028328600 in words is "three hundred thirteen billion, twenty-eight million, three hundred twenty-eight thousand, six hundred".