6631628328 has 128 divisors (see below), whose sum is σ = 21005308800. Its totient is φ = 1920457728.

The previous prime is 6631628303. The next prime is 6631628329. The reversal of 6631628328 is 8238261366.

It is a happy number.

6631628328 is a `hidden beast` number, since 6 + 6 + 316 + 2 + 8 + 328 = 666.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (6631628329) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21726 + ... + 117197.

It is an arithmetic number, because the mean of its divisors is an integer number (164103975).

Almost surely, 2^6631628328 is an apocalyptic number.

6631628328 is a gapful number since it is divisible by the number (68) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6631628328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10502654400).

6631628328 is an abundant number, since it is smaller than the sum of its proper divisors (14373680472).

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

6631628328 is a wasteful number, since it uses less digits than its factorization.

6631628328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138968 (or 138958 counting only the distinct ones).

The product of its digits is 497664, while the sum is 45.

The square root of 6631628328 is about 81434.8102963346. The cubic root of 6631628328 is about 1878.7690304485.

The spelling of 6631628328 in words is "six billion, six hundred thirty-one million, six hundred twenty-eight thousand, three hundred twenty-eight".