2728813249 has 2 divisors, whose sum is σ = 2728813250. Its totient is φ = 2728813248.

The previous prime is 2728813237. The next prime is 2728813271. The reversal of 2728813249 is 9423188272.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2159275024 + 569538225 = 46468^2 + 23865^2 .

It is a cyclic number.

It is not a de Polignac number, because 2728813249 - 2⁷ = 2728813121 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2728813199 and 2728813208.

It is not a weakly prime, because it can be changed into another prime (2728813289) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1364406624 + 1364406625.

It is an arithmetic number, because the mean of its divisors is an integer number (1364406625).

Almost surely, 2^2728813249 is an apocalyptic number.

It is an amenable number.

2728813249 is a deficient number, since it is larger than the sum of its proper divisors (1).

2728813249 is an equidigital number, since it uses as much as digits as its factorization.

2728813249 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 387072, while the sum is 46.

The square root of 2728813249 is about 52238.0440770900. The cubic root of 2728813249 is about 1397.4124396867.

The spelling of 2728813249 in words is "two billion, seven hundred twenty-eight million, eight hundred thirteen thousand, two hundred forty-nine".