6313527828 has 144 divisors (see below), whose sum is σ = 17145058560. Its totient is φ = 2033910000.

The previous prime is 6313527827. The next prime is 6313527833. The reversal of 6313527828 is 8287253136.

6313527828 is a `hidden beast` number, since 631 + 3 + 5 + 2 + 7 + 8 + 2 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6313527823) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8406453 + ... + 8407203.

Almost surely, 2^6313527828 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 6313527828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8572529280).

6313527828 is an abundant number, since it is smaller than the sum of its proper divisors (10831530732).

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

6313527828 is an equidigital number, since it uses as much as digits as its factorization.

6313527828 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 838 (or 787 counting only the distinct ones).

The product of its digits is 483840, while the sum is 45.

The square root of 6313527828 is about 79457.7109411038. The cubic root of 6313527828 is about 1848.2357495666.

The spelling of 6313527828 in words is "six billion, three hundred thirteen million, five hundred twenty-seven thousand, eight hundred twenty-eight".