28090805605776 has 135 divisors (see below), whose sum is σ = 79419477353827. Its totient is φ = 9268772908800.

The previous prime is 28090805605741. The next prime is 28090805605817. The reversal of 28090805605776 is 67750650809082.

The square root of 28090805605776 is 5300076.

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

28090805605776 is a `hidden beast` number, since 2 + 8 + 0 + 9 + 0 + 8 + 0 + 56 + 0 + 577 + 6 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 10586823987600 + 17503981618176 = 3253740^2 + 4183776^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 6423689926 + ... + 6423694298.

Almost surely, 2^{28090805605776} is an apocalyptic number.

28090805605776 is the 5300076-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28090805605776

28090805605776 is an abundant number, since it is smaller than the sum of its proper divisors (51328671748051).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

28090805605776 is an frugal number, since it uses more digits than its factorization.

28090805605776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8962 (or 4479 counting only the distinct ones).

The product of its (nonzero) digits is 50803200, while the sum is 63.

The spelling of 28090805605776 in words is "twenty-eight trillion, ninety billion, eight hundred five million, six hundred five thousand, seven hundred seventy-six".