27816813528 has 96 divisors (see below), whose sum is σ = 81513812160. Its totient is φ = 7886948160.

The previous prime is 27816813467. The next prime is 27816813569. The reversal of 27816813528 is 82531861872.

It is a super-2 number, since 2×27816813528² (a number of 22 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 63775 + ... + 244337.

It is an arithmetic number, because the mean of its divisors is an integer number (849102210).

Almost surely, 2^27816813528 is an apocalyptic number.

27816813528 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27816813528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40756906080).

27816813528 is an abundant number, since it is smaller than the sum of its proper divisors (53696998632).

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

27816813528 is a wasteful number, since it uses less digits than its factorization.

27816813528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180717 (or 180706 counting only the distinct ones).

The product of its digits is 1290240, while the sum is 51.

The spelling of 27816813528 in words is "twenty-seven billion, eight hundred sixteen million, eight hundred thirteen thousand, five hundred twenty-eight".