9728400013 has 2 divisors, whose sum is σ = 9728400014. Its totient is φ = 9728400012.

The previous prime is 9728399939. The next prime is 9728400029. The reversal of 9728400013 is 3100048279.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 5538038724 + 4190361289 = 74418^2 + 64733^2 .

It is a cyclic number.

It is not a de Polignac number, because 9728400013 - 2¹⁷ = 9728268941 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (9728400043) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 4864200006 + 4864200007.

It is an arithmetic number, because the mean of its divisors is an integer number (4864200007).

Almost surely, 2^9728400013 is an apocalyptic number.

It is an amenable number.

9728400013 is a deficient number, since it is larger than the sum of its proper divisors (1).

9728400013 is an equidigital number, since it uses as much as digits as its factorization.

9728400013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 12096, while the sum is 34.

The square root of 9728400013 is about 98632.6518603246. The cubic root of 9728400013 is about 2134.7505783174.

The spelling of 9728400013 in words is "nine billion, seven hundred twenty-eight million, four hundred thousand, thirteen".