28729233009 has 45 divisors (see below), whose sum is σ = 44194588977. Its totient is φ = 18598566816.

The previous prime is 28729233007. The next prime is 28729233017. The reversal of 28729233009 is 90033292782.

The square root of 28729233009 is 169497.

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

28729233009 is a `hidden beast` number, since 28 + 7 + 292 + 330 + 0 + 9 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 14598680625 + 14130552384 = 120825^2 + 118872^2 .

It is not a de Polignac number, because 28729233009 - 2¹ = 28729233007 is a prime.

It is not an unprimeable number, because it can be changed into a prime (28729233007) 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, 56442247 + ... + 56442755.

Almost surely, 2^28729233009 is an apocalyptic number.

28729233009 is the 169497-th square number.

28729233009 is the 84749-th centered octagonal number.

It is an amenable number.

28729233009 is a deficient number, since it is larger than the sum of its proper divisors (15465355968).

28729233009 is an frugal number, since it uses more digits than its factorization.

28729233009 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1104 (or 549 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The spelling of 28729233009 in words is "twenty-eight billion, seven hundred twenty-nine million, two hundred thirty-three thousand, nine".