27682827948 has 180 divisors, whose sum is σ = 77259816480. Its totient is φ = 8641479168.

The previous prime is 27682827941. The next prime is 27682827959. The reversal of 27682827948 is 84972828672.

It is not an unprimeable number, because it can be changed into a prime (27682827941) by changing a digit.

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 59 ways as a sum of consecutive naturals, for example, 22378386 + ... + 22379622.

Almost surely, 2^27682827948 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 27682827948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38629908240).

27682827948 is an abundant number, since it is smaller than the sum of its proper divisors (49576988532).

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

27682827948 is a wasteful number, since it uses less digits than its factorization.

27682827948 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1526 (or 1498 counting only the distinct ones).

The product of its digits is 43352064, while the sum is 63.

The spelling of 27682827948 in words is "twenty-seven billion, six hundred eighty-two million, eight hundred twenty-seven thousand, nine hundred forty-eight".