6327621828 has 144 divisors (see below), whose sum is σ = 18517314816. Its totient is φ = 1872732960.

The previous prime is 6327621809. The next prime is 6327621829. The reversal of 6327621828 is 8281267236.

6327621828 is a `hidden beast` number, since 632 + 7 + 6 + 2 + 1 + 8 + 2 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (6327621829) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 452875 + ... + 466637.

It is an arithmetic number, because the mean of its divisors is an integer number (128592464).

Almost surely, 2^6327621828 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 6327621828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9258657408).

6327621828 is an abundant number, since it is smaller than the sum of its proper divisors (12189692988).

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

6327621828 is a wasteful number, since it uses less digits than its factorization.

6327621828 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13836 (or 13822 counting only the distinct ones).

The product of its digits is 387072, while the sum is 45.

The square root of 6327621828 is about 79546.3501865422. The cubic root of 6327621828 is about 1849.6100300983.

The spelling of 6327621828 in words is "six billion, three hundred twenty-seven million, six hundred twenty-one thousand, eight hundred twenty-eight".