28705710088441 has 15 divisors (see below), whose sum is σ = 30501440746201. Its totient is φ = 27015681593056.

The previous prime is 28705710088423. The next prime is 28705710088487. The reversal of 28705710088441 is 14488001750782.

The square root of 28705710088441 is 5357771.

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

It can be written as a sum of positive squares in 2 ways, for example, as 8908905678841 + 19796804409600 = 2984779^2 + 4449360^2 .

It is not a de Polignac number, because 28705710088441 - 2²³ = 28705701699833 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (28705710098441) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 1548386550 + ... + 1548405088.

Almost surely, 2^{28705710088441} is an apocalyptic number.

28705710088441 is the 5357771-st square number.

28705710088441 is the 2678886-th centered octagonal number.

It is an amenable number.

28705710088441 is a deficient number, since it is larger than the sum of its proper divisors (1795730657760).

28705710088441 is an frugal number, since it uses more digits than its factorization.

28705710088441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37146 (or 18556 counting only the distinct ones).

The product of its (nonzero) digits is 4014080, while the sum is 55.

The spelling of 28705710088441 in words is "twenty-eight trillion, seven hundred five billion, seven hundred ten million, eighty-eight thousand, four hundred forty-one".