28544475346209 has 9 divisors (see below), whose sum is σ = 41230931985139. Its totient is φ = 19029639545400.

The previous prime is 28544475346183. The next prime is 28544475346213. The reversal of 28544475346209 is 90264357444582.

The square root of 28544475346209 is 5342703.

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

28544475346209 is a `hidden beast` number, since 2 + 8 + 5 + 44 + 47 + 5 + 346 + 209 = 666.

It can be written as a sum of positive squares in only one way, i.e., 16138723393809 + 12405751952400 = 4017303^2 + 3522180^2 .

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 28544475346209 - 2¹⁹ = 28544474821921 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (28544475346229) 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, 15137659 + ... + 16918559.

Almost surely, 2^{28544475346209} is an apocalyptic number.

28544475346209 is the 5342703-rd square number.

28544475346209 is the 2671352-nd centered octagonal number.

It is an amenable number.

28544475346209 is a deficient number, since it is larger than the sum of its proper divisors (12686456638930).

28544475346209 is an frugal number, since it uses more digits than its factorization.

28544475346209 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3561808 (or 1780904 counting only the distinct ones).

The product of its (nonzero) digits is 232243200, while the sum is 63.

The spelling of 28544475346209 in words is "twenty-eight trillion, five hundred forty-four billion, four hundred seventy-five million, three hundred forty-six thousand, two hundred nine".