27728746362 has 80 divisors (see below), whose sum is σ = 63267066720. Its totient is φ = 9075112992.

The previous prime is 27728746303. The next prime is 27728746403. The reversal of 27728746362 is 26364782772.

It is a happy number.

27728746362 is a `hidden beast` number, since 277 + 2 + 8 + 7 + 4 + 6 + 362 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 27728746299 and 27728746308.

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 39 ways as a sum of consecutive naturals, for example, 3436689 + ... + 3444747.

It is an arithmetic number, because the mean of its divisors is an integer number (790838334).

Almost surely, 2^27728746362 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27728746362, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31633533360).

27728746362 is an abundant number, since it is smaller than the sum of its proper divisors (35538320358).

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

27728746362 is a wasteful number, since it uses less digits than its factorization.

27728746362 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8457 (or 8448 counting only the distinct ones).

The product of its digits is 9483264, while the sum is 54.

The spelling of 27728746362 in words is "twenty-seven billion, seven hundred twenty-eight million, seven hundred forty-six thousand, three hundred sixty-two".