27728586304 has 56 divisors (see below), whose sum is σ = 59058874008. Its totient is φ = 12869959680.

The previous prime is 27728586293. The next prime is 27728586341. The reversal of 27728586304 is 40368582772.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 12463489600 + 15265096704 = 111640^2 + 123552^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 95137 + ... + 253984.

Almost surely, 2^27728586304 is an apocalyptic number.

It is an amenable number.

27728586304 is an abundant number, since it is smaller than the sum of its proper divisors (31330287704).

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

27728586304 is a wasteful number, since it uses less digits than its factorization.

27728586304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 349223 (or 349213 counting only the distinct ones).

The product of its (nonzero) digits is 4515840, while the sum is 52.

The spelling of 27728586304 in words is "twenty-seven billion, seven hundred twenty-eight million, five hundred eighty-six thousand, three hundred four".