27728588820 has 96 divisors (see below), whose sum is σ = 82279628928. Its totient is φ = 6953193472.

The previous prime is 27728588801. The next prime is 27728588821. The reversal of 27728588820 is 2888582772.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27728588821) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 1205467 + ... + 1228253.

It is an arithmetic number, because the mean of its divisors is an integer number (857079468).

Almost surely, 2^27728588820 is an apocalyptic number.

27728588820 is a gapful number since it is divisible by the number (20) 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 27728588820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41139814464).

27728588820 is an abundant number, since it is smaller than the sum of its proper divisors (54551040108).

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

27728588820 is a wasteful number, since it uses less digits than its factorization.

27728588820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24009 (or 24007 counting only the distinct ones).

The product of its (nonzero) digits is 8028160, while the sum is 57.

The spelling of 27728588820 in words is "twenty-seven billion, seven hundred twenty-eight million, five hundred eighty-eight thousand, eight hundred twenty".