7728085873 has 16 divisors (see below), whose sum is σ = 8055438336. Its totient is φ = 7408024000.

The previous prime is 7728085847. The next prime is 7728085877. The reversal of 7728085873 is 3785808277.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-7728085873 is a prime.

It is a super-2 number, since 2×7728085873² (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (7728085877) 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 15 ways as a sum of consecutive naturals, for example, 1624248 + ... + 1628998.

It is an arithmetic number, because the mean of its divisors is an integer number (503464896).

Almost surely, 2^7728085873 is an apocalyptic number.

It is an amenable number.

7728085873 is a deficient number, since it is larger than the sum of its proper divisors (327352463).

7728085873 is a wasteful number, since it uses less digits than its factorization.

7728085873 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5504.

The product of its (nonzero) digits is 5268480, while the sum is 55.

The square root of 7728085873 is about 87909.5323215862. The cubic root of 7728085873 is about 1977.0788022953.

The spelling of 7728085873 in words is "seven billion, seven hundred twenty-eight million, eighty-five thousand, eight hundred seventy-three".