27728778330 has 256 divisors, whose sum is σ = 85399142400. Its totient is φ = 6338545920.

The previous prime is 27728778313. The next prime is 27728778401. The reversal of 27728778330 is 3387782772.

27728778330 is a `hidden beast` number, since 27 + 7 + 287 + 7 + 8 + 330 = 666.

27728778330 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

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

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 127 ways as a sum of consecutive naturals, for example, 3699847 + ... + 3707333.

It is an arithmetic number, because the mean of its divisors is an integer number (333590400).

Almost surely, 2^27728778330 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27728778330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42699571200).

27728778330 is an abundant number, since it is smaller than the sum of its proper divisors (57670364070).

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

27728778330 is a wasteful number, since it uses less digits than its factorization.

27728778330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7586 (or 7580 counting only the distinct ones).

The product of its (nonzero) digits is 5531904, while the sum is 54.

The spelling of 27728778330 in words is "twenty-seven billion, seven hundred twenty-eight million, seven hundred seventy-eight thousand, three hundred thirty".