27728782146 has 72 divisors (see below), whose sum is σ = 65111621796. Its totient is φ = 8524638720.

The previous prime is 27728782049. The next prime is 27728782219. The reversal of 27728782146 is 64128782772.

27728782146 is a `hidden beast` number, since 277 + 287 + 82 + 14 + 6 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 5071006521 + 22657775625 = 71211^2 + 150525^2 .

It is a junction number, because it is equal to n+sod(n) for n = 27728782092 and 27728782101.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 4356006 + ... + 4362366.

Almost surely, 2^27728782146 is an apocalyptic number.

27728782146 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 27728782146, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32555810898).

27728782146 is an abundant number, since it is smaller than the sum of its proper divisors (37382839650).

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

27728782146 is a wasteful number, since it uses less digits than its factorization.

27728782146 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7828 (or 7812 counting only the distinct ones).

The product of its digits is 4214784, while the sum is 54.

The spelling of 27728782146 in words is "twenty-seven billion, seven hundred twenty-eight million, seven hundred eighty-two thousand, one hundred forty-six".