28205711919025 has 27 divisors (see below), whose sum is σ = 35120199635491. Its totient is φ = 22471331287040.

The previous prime is 28205711918953. The next prime is 28205711919107. The reversal of 28205711919025 is 52091911750282.

The square root of 28205711919025 is 5310905.

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

It can be written as a sum of positive squares in 13 ways, for example, as 7742768049 + 28197969150976 = 87993^2 + 5310176^2 .

It is not a de Polignac number, because 28205711919025 - 2²⁷ = 28205577701297 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 6824510859 + ... + 6824514991.

Almost surely, 2^{28205711919025} is an apocalyptic number.

28205711919025 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

28205711919025 is the 5310905-th square number.

28205711919025 is the 2655453-rd centered octagonal number.

It is an amenable number.

28205711919025 is a deficient number, since it is larger than the sum of its proper divisors (6914487716466).

28205711919025 is an frugal number, since it uses more digits than its factorization.

28205711919025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8790 (or 4395 counting only the distinct ones).

The product of its (nonzero) digits is 907200, while the sum is 52.

The spelling of 28205711919025 in words is "twenty-eight trillion, two hundred five billion, seven hundred eleven million, nine hundred nineteen thousand, twenty-five".