2728164017 has 2 divisors, whose sum is σ = 2728164018. Its totient is φ = 2728164016.

The previous prime is 2728164013. The next prime is 2728164041. The reversal of 2728164017 is 7104618272.

2728164017 is digitally balanced in base 2, 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., 2597838961 + 130325056 = 50969^2 + 11416^2 .

It is a cyclic number.

It is not a de Polignac number, because 2728164017 - 2² = 2728164013 is a prime.

It is not a weakly prime, because it can be changed into another prime (2728164011) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1364082008 + 1364082009.

It is an arithmetic number, because the mean of its divisors is an integer number (1364082009).

Almost surely, 2^2728164017 is an apocalyptic number.

It is an amenable number.

2728164017 is a deficient number, since it is larger than the sum of its proper divisors (1).

2728164017 is an equidigital number, since it uses as much as digits as its factorization.

2728164017 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 37632, while the sum is 38.

The square root of 2728164017 is about 52231.8295390847. The cubic root of 2728164017 is about 1397.3016080113.

The spelling of 2728164017 in words is "two billion, seven hundred twenty-eight million, one hundred sixty-four thousand, seventeen".