9029728013 has 2 divisors, whose sum is σ = 9029728014. Its totient is φ = 9029728012.

The previous prime is 9029727989. The next prime is 9029728027. The reversal of 9029728013 is 3108279209.

It is a happy number.

9029728013 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., 6361179049 + 2668548964 = 79757^2 + 51658^2 .

It is a cyclic number.

It is not a de Polignac number, because 9029728013 - 2²⁰ = 9028679437 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (9029728063) 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, 4514864006 + 4514864007.

It is an arithmetic number, because the mean of its divisors is an integer number (4514864007).

Almost surely, 2^9029728013 is an apocalyptic number.

It is an amenable number.

9029728013 is a deficient number, since it is larger than the sum of its proper divisors (1).

9029728013 is an equidigital number, since it uses as much as digits as its factorization.

9029728013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 54432, while the sum is 41.

The square root of 9029728013 is about 95024.8810207095. The cubic root of 9029728013 is about 2082.3715563484.

The spelling of 9029728013 in words is "nine billion, twenty-nine million, seven hundred twenty-eight thousand, thirteen".