7727313828 has 48 divisors (see below), whose sum is σ = 20043731456. Its totient is φ = 2300935680.

The previous prime is 7727313799. The next prime is 7727313907. The reversal of 7727313828 is 8283137277.

It is a happy number.

It is a super-2 number, since 2×7727313828² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 794101 + ... + 803772.

Almost surely, 2^7727313828 is an apocalyptic number.

7727313828 is a gapful number since it is divisible by the number (78) formed by its first and last digit.

It is an amenable number.

7727313828 is an abundant number, since it is smaller than the sum of its proper divisors (12316417628).

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

7727313828 is a wasteful number, since it uses less digits than its factorization.

7727313828 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1597924 (or 1597922 counting only the distinct ones).

The product of its digits is 790272, while the sum is 48.

The square root of 7727313828 is about 87905.1410783237. The cubic root of 7727313828 is about 1977.0129625923.

The spelling of 7727313828 in words is "seven billion, seven hundred twenty-seven million, three hundred thirteen thousand, eight hundred twenty-eight".