27728748060 has 192 divisors, whose sum is σ = 84753285120. Its totient is φ = 6732979200.

The previous prime is 27728748049. The next prime is 27728748071. The reversal of 27728748060 is 6084782772.

It is an interprime number because it is at equal distance from previous prime (27728748049) and next prime (27728748071).

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 27728747994 and 27728748012.

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 30172281 + ... + 30173199.

It is an arithmetic number, because the mean of its divisors is an integer number (441423360).

Almost surely, 2^27728748060 is an apocalyptic number.

27728748060 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 27728748060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42376642560).

27728748060 is an abundant number, since it is smaller than the sum of its proper divisors (57024537060).

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

27728748060 is a wasteful number, since it uses less digits than its factorization.

27728748060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1428 (or 1426 counting only the distinct ones).

The product of its (nonzero) digits is 2107392, while the sum is 51.

The spelling of 27728748060 in words is "twenty-seven billion, seven hundred twenty-eight million, seven hundred forty-eight thousand, sixty".