27268082028 has 240 divisors, whose sum is σ = 82474761600. Its totient is φ = 7769157120.

The previous prime is 27268082021. The next prime is 27268082041. The reversal of 27268082028 is 82028086272.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (27268082021) by changing a digit.

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 79 ways as a sum of consecutive naturals, for example, 9411076 + ... + 9413972.

It is an arithmetic number, because the mean of its divisors is an integer number (343644840).

Almost surely, 2^27268082028 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27268082028, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41237380800).

27268082028 is an abundant number, since it is smaller than the sum of its proper divisors (55206679572).

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

27268082028 is a wasteful number, since it uses less digits than its factorization.

27268082028 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3082 (or 3071 counting only the distinct ones).

The product of its (nonzero) digits is 344064, while the sum is 45.

The spelling of 27268082028 in words is "twenty-seven billion, two hundred sixty-eight million, eighty-two thousand, twenty-eight".