2628305289 has 27 divisors (see below), whose sum is σ = 3974028877. Its totient is φ = 1673765016.

The previous prime is 2628305257. The next prime is 2628305291. The reversal of 2628305289 is 9825038262.

It is a happy number.

The square root of 2628305289 is 51267.

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

2628305289 is a `hidden beast` number, since 2 + 62 + 8 + 305 + 289 = 666.

It is not a de Polignac number, because 2628305289 - 2⁵ = 2628305257 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2628305089) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 3537052 + ... + 3537794.

Almost surely, 2^2628305289 is an apocalyptic number.

2628305289 is the 51267-th square number.

2628305289 is the 25634-th centered octagonal number.

It is an amenable number.

2628305289 is a deficient number, since it is larger than the sum of its proper divisors (1345723588).

2628305289 is an frugal number, since it uses more digits than its factorization.

2628305289 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1538 (or 769 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The cubic root of 2628305289 is about 1380.0408321252.

The spelling of 2628305289 in words is "two billion, six hundred twenty-eight million, three hundred five thousand, two hundred eighty-nine".