2728415663257 has 8 divisors (see below), whose sum is σ = 2823373168200. Its totient is φ = 2633516438784.

The previous prime is 2728415663219. The next prime is 2728415663261. The reversal of 2728415663257 is 7523665148272.

2728415663257 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 795826352281 + 1932589310976 = 892091^2 + 1390176^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 2728415663257 - 2³⁹ = 2178659849369 is a prime.

It is a super-2 number, since 2×2728415663257² (a number of 26 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2728415693257) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14474848 + ... + 14662129.

It is an arithmetic number, because the mean of its divisors is an integer number (352921646025).

Almost surely, 2^{2728415663257} is an apocalyptic number.

It is an amenable number.

2728415663257 is a deficient number, since it is larger than the sum of its proper divisors (94957504943).

2728415663257 is a wasteful number, since it uses less digits than its factorization.

2728415663257 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29140235.

The product of its digits is 33868800, while the sum is 58.

The spelling of 2728415663257 in words is "two trillion, seven hundred twenty-eight billion, four hundred fifteen million, six hundred sixty-three thousand, two hundred fifty-seven".