28562429650689 has 81 divisors (see below), whose sum is σ = 46016310496611. Its totient is φ = 17059270536000.

The previous prime is 28562429650649. The next prime is 28562429650709. The reversal of 28562429650689 is 98605692426582.

The square root of 28562429650689 is 5344383.

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

28562429650689 is a `hidden beast` number, since 2 + 8 + 5 + 6 + 24 + 2 + 96 + 506 + 8 + 9 = 666.

It can be written as a sum of positive squares in only one way, i.e., 17179093484289 + 11383336166400 = 4144767^2 + 3373920^2 .

It is not a de Polignac number, because 28562429650689 - 2²⁷ = 28562295432961 is a prime.

It is not an unprimeable number, because it can be changed into a prime (28562429650609) 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 80 ways as a sum of consecutive naturals, for example, 12521888229 + ... + 12521890509.

Almost surely, 2^{28562429650689} is an apocalyptic number.

28562429650689 is the 5344383-rd square number.

28562429650689 is the 2672192-nd centered octagonal number.

It is an amenable number.

28562429650689 is a deficient number, since it is larger than the sum of its proper divisors (17453880845922).

28562429650689 is an frugal number, since it uses more digits than its factorization.

28562429650689 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4732 (or 2366 counting only the distinct ones).

The product of its (nonzero) digits is 895795200, while the sum is 72.

The spelling of 28562429650689 in words is "twenty-eight trillion, five hundred sixty-two billion, four hundred twenty-nine million, six hundred fifty thousand, six hundred eighty-nine".