27728780772 has 192 divisors, whose sum is σ = 84325183488. Its totient is φ = 6876672000.

The previous prime is 27728780771. The next prime is 27728780789. The reversal of 27728780772 is 27708782772.

It is not an unprimeable number, because it can be changed into a prime (27728780771) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 18722272 + ... + 18723752.

It is an arithmetic number, because the mean of its divisors is an integer number (439193664).

Almost surely, 2^27728780772 is an apocalyptic number.

27728780772 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27728780772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42162591744).

27728780772 is an abundant number, since it is smaller than the sum of its proper divisors (56596402716).

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

27728780772 is a wasteful number, since it uses less digits than its factorization.

27728780772 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2410 (or 2408 counting only the distinct ones).

The product of its (nonzero) digits is 8605184, while the sum is 57.

The spelling of 27728780772 in words is "twenty-seven billion, seven hundred twenty-eight million, seven hundred eighty thousand, seven hundred seventy-two".