28257273801 has 27 divisors (see below), whose sum is σ = 41216938581. Its totient is φ = 18654954624.

The previous prime is 28257273763. The next prime is 28257273833. The reversal of 28257273801 is 10837275282.

The square root of 28257273801 is 168099.

It is a perfect power (a square), and thus also a powerful number.

28257273801 is a `hidden beast` number, since 2 + 8 + 2 + 572 + 73 + 8 + 0 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 8369505225 + 19887768576 = 91485^2 + 141024^2 .

It is not a de Polignac number, because 28257273801 - 2¹⁹ = 28256749513 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (28257273881) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 69088485 + ... + 69088893.

Almost surely, 2^28257273801 is an apocalyptic number.

28257273801 is the 168099-th square number.

28257273801 is the 84050-th centered octagonal number.

It is an amenable number.

28257273801 is a deficient number, since it is larger than the sum of its proper divisors (12959664780).

28257273801 is an frugal number, since it uses more digits than its factorization.

28257273801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1098 (or 549 counting only the distinct ones).

The product of its (nonzero) digits is 376320, while the sum is 45.

The spelling of 28257273801 in words is "twenty-eight billion, two hundred fifty-seven million, two hundred seventy-three thousand, eight hundred one".