27824728541 has 2 divisors, whose sum is σ = 27824728542. Its totient is φ = 27824728540.

The previous prime is 27824728501. The next prime is 27824728549. The reversal of 27824728541 is 14582742872.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 26670156100 + 1154572441 = 163310^2 + 33979^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-27824728541 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 27824728541.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (27824728549) by changing a digit.

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 as a sum of consecutive naturals, namely, 13912364270 + 13912364271.

It is an arithmetic number, because the mean of its divisors is an integer number (13912364271).

Almost surely, 2^27824728541 is an apocalyptic number.

It is an amenable number.

27824728541 is a deficient number, since it is larger than the sum of its proper divisors (1).

27824728541 is an equidigital number, since it uses as much as digits as its factorization.

27824728541 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 2007040, while the sum is 50.

The spelling of 27824728541 in words is "twenty-seven billion, eight hundred twenty-four million, seven hundred twenty-eight thousand, five hundred forty-one".