27791728441 has 8 divisors (see below), whose sum is σ = 27981753800. Its totient is φ = 27602104320.

The previous prime is 27791728423. The next prime is 27791728453. The reversal of 27791728441 is 14482719772.

It can be written as a sum of positive squares in 4 ways, for example, as 162307600 + 27629420841 = 12740^2 + 166221^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 27791728441 - 2⁵ = 27791728409 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (27791728411) 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 7 ways as a sum of consecutive naturals, for example, 39355 + ... + 239023.

It is an arithmetic number, because the mean of its divisors is an integer number (3497719225).

Almost surely, 2^27791728441 is an apocalyptic number.

It is an amenable number.

27791728441 is a deficient number, since it is larger than the sum of its proper divisors (190025359).

27791728441 is a wasteful number, since it uses less digits than its factorization.

27791728441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200619.

The product of its digits is 1580544, while the sum is 52.

The spelling of 27791728441 in words is "twenty-seven billion, seven hundred ninety-one million, seven hundred twenty-eight thousand, four hundred forty-one".