728746835881313 has 2 divisors, whose sum is σ = 728746835881314. Its totient is φ = 728746835881312.

The previous prime is 728746835881249. The next prime is 728746835881331. The reversal of 728746835881313 is 313188538647827.

It is a happy number.

Together with next prime (728746835881331) it forms an Ormiston pair, because they use the same digits, order apart.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 720148997990464 + 8597837890849 = 26835592^2 + 2932207^2 .

It is a cyclic number.

It is not a de Polignac number, because 728746835881313 - 2⁶ = 728746835881249 is a prime.

It is not a weakly prime, because it can be changed into another prime (728746835881373) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 364373417940656 + 364373417940657.

It is an arithmetic number, because the mean of its divisors is an integer number (364373417940657).

Almost surely, 2^{728746835881313} is an apocalyptic number.

It is an amenable number.

728746835881313 is a deficient number, since it is larger than the sum of its proper divisors (1).

728746835881313 is an equidigital number, since it uses as much as digits as its factorization.

728746835881313 is an evil number, because the sum of its binary digits is even.

The product of its digits is 1300561920, while the sum is 74.

The spelling of 728746835881313 in words is "seven hundred twenty-eight trillion, seven hundred forty-six billion, eight hundred thirty-five million, eight hundred eighty-one thousand, three hundred thirteen".