7627848228 has 324 divisors, whose sum is σ = 26560033500. Its totient is φ = 1828189440.

The previous prime is 7627848223. The next prime is 7627848229. The reversal of 7627848228 is 8228487267.

7627848228 is a `hidden beast` number, since 7 + 627 + 8 + 4 + 8 + 2 + 2 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1016206884 + 6611641344 = 31878^2 + 81312^2 .

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (7627848223) 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 107 ways as a sum of consecutive naturals, for example, 2773398 + ... + 2776146.

Almost surely, 2^7627848228 is an apocalyptic number.

7627848228 is a gapful number since it is divisible by the number (78) 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 7627848228, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13280016750).

7627848228 is an abundant number, since it is smaller than the sum of its proper divisors (18932185272).

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

7627848228 is a wasteful number, since it uses less digits than its factorization.

7627848228 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2808 (or 2785 counting only the distinct ones).

The product of its digits is 4816896, while the sum is 54.

The square root of 7627848228 is about 87337.5533662353. The cubic root of 7627848228 is about 1968.4936329882.

The spelling of 7627848228 in words is "seven billion, six hundred twenty-seven million, eight hundred forty-eight thousand, two hundred twenty-eight".