312113628 has 48 divisors (see below), whose sum is σ = 812182560. Its totient is φ = 103652352.

The previous prime is 312113621. The next prime is 312113639. The reversal of 312113628 is 826311213.

It is a happy number.

312113628 is a `hidden beast` number, since 3 + 1 + 21 + 13 + 628 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312113621) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24700 + ... + 35132.

It is an arithmetic number, because the mean of its divisors is an integer number (16920470).

Almost surely, 2^312113628 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 312113628, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (406091280).

312113628 is an abundant number, since it is smaller than the sum of its proper divisors (500068932).

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

312113628 is a wasteful number, since it uses less digits than its factorization.

312113628 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10723 (or 10715 counting only the distinct ones).

The product of its digits is 1728, while the sum is 27.

The square root of 312113628 is about 17666.7378992275. The cubic root of 312113628 is about 678.3246154841.

The spelling of 312113628 in words is "three hundred twelve million, one hundred thirteen thousand, six hundred twenty-eight".