5628312 has 64 divisors (see below), whose sum is σ = 15897600. Its totient is φ = 1844640.

The previous prime is 5628289. The next prime is 5628319. The reversal of 5628312 is 2138265.

5628312 is a `hidden beast` number, since 5 + 628 + 31 + 2 = 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 (5628319) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15153 + ... + 15519.

It is an arithmetic number, because the mean of its divisors is an integer number (248400).

Almost surely, 2^5628312 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 5628312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7948800).

5628312 is an abundant number, since it is smaller than the sum of its proper divisors (10269288).

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

5628312 is a wasteful number, since it uses less digits than its factorization.

5628312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 453 (or 443 counting only the distinct ones).

The product of its digits is 2880, while the sum is 27.

The square root of 5628312 is about 2372.4063732843. The cubic root of 5628312 is about 177.8795633557.

The spelling of 5628312 in words is "five million, six hundred twenty-eight thousand, three hundred twelve".