27728760816 has 120 divisors (see below), whose sum is σ = 83894379920. Its totient is φ = 8519758848.

The previous prime is 27728760803. The next prime is 27728760863. The reversal of 27728760816 is 61806782772.

It is a happy number.

27728760816 is a `hidden beast` number, since 2 + 7 + 7 + 28 + 7 + 608 + 1 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 35725 + ... + 238188.

Almost surely, 2^27728760816 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27728760816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41947189960).

27728760816 is an abundant number, since it is smaller than the sum of its proper divisors (56165619104).

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

27728760816 is a wasteful number, since it uses less digits than its factorization.

27728760816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 273983 (or 273974 counting only the distinct ones).

The product of its (nonzero) digits is 3161088, while the sum is 54.

It can be divided in two parts, 27728 and 760816, that added together give a square (788544 = 888²).

The spelling of 27728760816 in words is "twenty-seven billion, seven hundred twenty-eight million, seven hundred sixty thousand, eight hundred sixteen".