28090773805329 has 99 divisors (see below), whose sum is σ = 44795219999803. Its totient is φ = 17611845774912.

The previous prime is 28090773805321. The next prime is 28090773805349. The reversal of 28090773805329 is 92350837709082.

The square root of 28090773805329 is 5300073.

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

28090773805329 is a `hidden beast` number, since 2 + 8 + 0 + 90 + 7 + 7 + 3 + 8 + 0 + 532 + 9 = 666.

It can be written as a sum of positive squares in only one way, i.e., 21869979606225 + 6220794199104 = 4676535^2 + 2494152^2 .

It is not a de Polignac number, because 28090773805329 - 2³ = 28090773805321 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (28090773805321) 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 98 ways as a sum of consecutive naturals, for example, 21894600922 + ... + 21894602204.

Almost surely, 2^{28090773805329} is an apocalyptic number.

28090773805329 is the 5300073-rd square number.

28090773805329 is the 2650037-th centered octagonal number.

It is an amenable number.

28090773805329 is a deficient number, since it is larger than the sum of its proper divisors (16704446194474).

28090773805329 is an frugal number, since it uses more digits than its factorization.

28090773805329 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2630 (or 1303 counting only the distinct ones).

The product of its (nonzero) digits is 45722880, while the sum is 63.

The spelling of 28090773805329 in words is "twenty-eight trillion, ninety billion, seven hundred seventy-three million, eight hundred five thousand, three hundred twenty-nine".