9728584009 has 2 divisors, whose sum is σ = 9728584010. Its totient is φ = 9728584008.

The previous prime is 9728584001. The next prime is 9728584013. The reversal of 9728584009 is 9004858279.

9728584009 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9330980409 + 397603600 = 96597^2 + 19940^2 .

It is a cyclic number.

It is not a de Polignac number, because 9728584009 - 2³ = 9728584001 is a prime.

It is not a weakly prime, because it can be changed into another prime (9728584001) 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 as a sum of consecutive naturals, namely, 4864292004 + 4864292005.

It is an arithmetic number, because the mean of its divisors is an integer number (4864292005).

Almost surely, 2^9728584009 is an apocalyptic number.

It is an amenable number.

9728584009 is a deficient number, since it is larger than the sum of its proper divisors (1).

9728584009 is an equidigital number, since it uses as much as digits as its factorization.

9728584009 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1451520, while the sum is 52.

The square root of 9728584009 is about 98633.5845896315. The cubic root of 9728584009 is about 2134.7640366145.

The spelling of 9728584009 in words is "nine billion, seven hundred twenty-eight million, five hundred eighty-four thousand, nine".