9840728993 has 2 divisors, whose sum is σ = 9840728994. Its totient is φ = 9840728992.

The previous prime is 9840728981. The next prime is 9840729053. The reversal of 9840728993 is 3998270489.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 5108389729 + 4732339264 = 71473^2 + 68792^2 .

It is a cyclic number.

It is not a de Polignac number, because 9840728993 - 2¹⁸ = 9840466849 is a prime.

It is a super-2 number, since 2×9840728993² (a number of 21 digits) contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (9840728893) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 4920364496 + 4920364497.

It is an arithmetic number, because the mean of its divisors is an integer number (4920364497).

Almost surely, 2^9840728993 is an apocalyptic number.

It is an amenable number.

9840728993 is a deficient number, since it is larger than the sum of its proper divisors (1).

9840728993 is an equidigital number, since it uses as much as digits as its factorization.

9840728993 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 7838208, while the sum is 59.

The square root of 9840728993 is about 99200.4485524133. The cubic root of 9840728993 is about 2142.9354563123.

The spelling of 9840728993 in words is "nine billion, eight hundred forty million, seven hundred twenty-eight thousand, nine hundred ninety-three".