28972738012689 has 27 divisors (see below), whose sum is σ = 42361755913243. Its totient is φ = 19081563168192.

The previous prime is 28972738012681. The next prime is 28972738012723. The reversal of 28972738012689 is 98621083727982.

The square root of 28972738012689 is 5382633.

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

28972738012689 is a `hidden beast` number, since 2 + 8 + 97 + 273 + 8 + 0 + 1 + 268 + 9 = 666.

It can be written as a sum of positive squares in only one way, i.e., 5173873398225 + 23798864614464 = 2274615^2 + 4878408^2 .

It is not a de Polignac number, because 28972738012689 - 2³ = 28972738012681 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (28972738012681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1340264809 + ... + 1340286425.

Almost surely, 2^{28972738012689} is an apocalyptic number.

28972738012689 is the 5382633-rd square number.

28972738012689 is the 2691317-th centered octagonal number.

It is an amenable number.

28972738012689 is a deficient number, since it is larger than the sum of its proper divisors (13389017900554).

28972738012689 is an frugal number, since it uses more digits than its factorization.

28972738012689 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43406 (or 21703 counting only the distinct ones).

The product of its (nonzero) digits is 292626432, while the sum is 72.

The spelling of 28972738012689 in words is "twenty-eight trillion, nine hundred seventy-two billion, seven hundred thirty-eight million, twelve thousand, six hundred eighty-nine".