2728657 has 2 divisors, whose sum is σ = 2728658. Its totient is φ = 2728656.

The previous prime is 2728643. The next prime is 2728669. The reversal of 2728657 is 7568272.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2702736 + 25921 = 1644^2 + 161^2 .

It is a cyclic number.

It is not a de Polignac number, because 2728657 - 2¹⁹ = 2204369 is a prime.

It is a d-powerful number, because it can be written as 2² + 7² + 2²⁰ + 8² + 6⁸ + 5 + 7³ .

It is equal to p₁₉₈₅₆₈ and since 2728657 and 198568 have the same sum of digits, it is a Honaker prime.

It is not a weakly prime, because it can be changed into another prime (2728357) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1364328 + 1364329.

It is an arithmetic number, because the mean of its divisors is an integer number (1364329).

2^2728657 is an apocalyptic number.

It is an amenable number.

2728657 is a deficient number, since it is larger than the sum of its proper divisors (1).

2728657 is an equidigital number, since it uses as much as digits as its factorization.

2728657 is an evil number, because the sum of its binary digits is even.

The product of its digits is 47040, while the sum is 37.

The square root of 2728657 is about 1651.8647039028. The cubic root of 2728657 is about 139.7385767718.

The spelling of 2728657 in words is "two million, seven hundred twenty-eight thousand, six hundred fifty-seven".