28657317682009 has 9 divisors (see below), whose sum is σ = 29280277899957. Its totient is φ = 28047341268924.

The previous prime is 28657317681997. The next prime is 28657317682039. The reversal of 28657317682009 is 90028671375682.

The square root of 28657317682009 is 5353253.

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

It is not a de Polignac number, because 28657317682009 - 2¹¹ = 28657317679961 is a prime.

It is a super-3 number, since 3×28657317682009³ (a number of 41 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (28657317682039) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 251545942 + ... + 251659840.

Almost surely, 2^{28657317682009} is an apocalyptic number.

28657317682009 is the 5353253-rd square number.

28657317682009 is the 2676627-th centered octagonal number.

It is an amenable number.

28657317682009 is a deficient number, since it is larger than the sum of its proper divisors (622960217948).

28657317682009 is an frugal number, since it uses more digits than its factorization.

28657317682009 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 227892 (or 113946 counting only the distinct ones).

The product of its (nonzero) digits is 60963840, while the sum is 64.

The spelling of 28657317682009 in words is "twenty-eight trillion, six hundred fifty-seven billion, three hundred seventeen million, six hundred eighty-two thousand, nine".