28641260173009 has 27 divisors (see below), whose sum is σ = 33443683214011. Its totient is φ = 24505034776640.

The previous prime is 28641260172997. The next prime is 28641260173027. The reversal of 28641260173009 is 90037106214682.

It is a happy number.

The square root of 28641260173009 is 5351753.

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

It can be written as a sum of positive squares in only one way, i.e., 22298558958225 + 6342701214784 = 4722135^2 + 2518472^2 .

It is not a de Polignac number, because 28641260173009 - 2¹⁹ = 28641259648721 is a prime.

It is a super-2 number, since 2×28641260173009² (a number of 28 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (28641260173609) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1000763502 + ... + 1000792120.

Almost surely, 2^{28641260173009} is an apocalyptic number.

28641260173009 is the 5351753-rd square number.

28641260173009 is the 2675877-th centered octagonal number.

It is an amenable number.

28641260173009 is a deficient number, since it is larger than the sum of its proper divisors (4802423041002).

28641260173009 is an frugal number, since it uses more digits than its factorization.

28641260173009 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57294 (or 28647 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 49.

The spelling of 28641260173009 in words is "twenty-eight trillion, six hundred forty-one billion, two hundred sixty million, one hundred seventy-three thousand, nine".