2728003122401 has 2 divisors, whose sum is σ = 2728003122402. Its totient is φ = 2728003122400.

The previous prime is 2728003122389. The next prime is 2728003122463. The reversal of 2728003122401 is 1042213008272.

2728003122401 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1671474051025 + 1056529071376 = 1292855^2 + 1027876^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-2728003122401 is a prime.

It is not a weakly prime, because it can be changed into another prime (2728003022401) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1364001561200 + 1364001561201.

It is an arithmetic number, because the mean of its divisors is an integer number (1364001561201).

Almost surely, 2^{2728003122401} is an apocalyptic number.

It is an amenable number.

2728003122401 is a deficient number, since it is larger than the sum of its proper divisors (1).

2728003122401 is an equidigital number, since it uses as much as digits as its factorization.

2728003122401 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 10752, while the sum is 32.

The spelling of 2728003122401 in words is "two trillion, seven hundred twenty-eight billion, three million, one hundred twenty-two thousand, four hundred one".