313528820 has 48 divisors (see below), whose sum is σ = 720111168. Its totient is φ = 113717760.

The previous prime is 313528819. The next prime is 313528877. The reversal of 313528820 is 28825313.

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, 95852 + ... + 99068.

It is an arithmetic number, because the mean of its divisors is an integer number (15002316).

Almost surely, 2^313528820 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 313528820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (360055584).

313528820 is an abundant number, since it is smaller than the sum of its proper divisors (406582348).

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

313528820 is a wasteful number, since it uses less digits than its factorization.

313528820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3680 (or 3678 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 32.

The square root of 313528820 is about 17706.7450424972. The cubic root of 313528820 is about 679.3482942959.

The spelling of 313528820 in words is "three hundred thirteen million, five hundred twenty-eight thousand, eight hundred twenty".