27628302078 has 96 divisors (see below), whose sum is σ = 67984076160. Its totient is φ = 8038751040.

The previous prime is 27628302077. The next prime is 27628302133. The reversal of 27628302078 is 87020382672.

27628302078 is a `hidden beast` number, since 276 + 2 + 8 + 302 + 0 + 78 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27628302077) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2533225 + ... + 2544107.

It is an arithmetic number, because the mean of its divisors is an integer number (708167460).

Almost surely, 2^27628302078 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27628302078, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33992038080).

27628302078 is an abundant number, since it is smaller than the sum of its proper divisors (40355774082).

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

27628302078 is a wasteful number, since it uses less digits than its factorization.

27628302078 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11494 (or 11491 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 45.

The spelling of 27628302078 in words is "twenty-seven billion, six hundred twenty-eight million, three hundred two thousand, seventy-eight".