28225008009 has 45 divisors (see below), whose sum is σ = 46372092151. Its totient is φ = 17095985280.

The previous prime is 28225007977. The next prime is 28225008017. The reversal of 28225008009 is 90080052282.

The square root of 28225008009 is 168003.

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., 27170577225 + 1054430784 = 164835^2 + 32472^2 .

It is not a de Polignac number, because 28225008009 - 2⁵ = 28225007977 is a prime.

It is a super-2 number, since 2×28225008009² (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (28225008029) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 16631449 + ... + 16633145.

Almost surely, 2^28225008009 is an apocalyptic number.

28225008009 is the 168003-rd square number.

28225008009 is the 84002-nd centered octagonal number.

It is an amenable number.

28225008009 is a deficient number, since it is larger than the sum of its proper divisors (18147084142).

28225008009 is an frugal number, since it uses more digits than its factorization.

28225008009 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3428 (or 1711 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

Multiplying 28225008009 by its sum of digits (36), we get a square (1016100288324 = 1008018²).

The spelling of 28225008009 in words is "twenty-eight billion, two hundred twenty-five million, eight thousand, nine".