27285552528 has 240 divisors, whose sum is σ = 81512907840. Its totient is φ = 7815066624.

The previous prime is 27285552523. The next prime is 27285552559. The reversal of 27285552528 is 82525558272.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (27285552523) 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 47 ways as a sum of consecutive naturals, for example, 13289550 + ... + 13291602.

It is an arithmetic number, because the mean of its divisors is an integer number (339637116).

Almost surely, 2^27285552528 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 27285552528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40756453920).

27285552528 is an abundant number, since it is smaller than the sum of its proper divisors (54227355312).

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

27285552528 is a wasteful number, since it uses less digits than its factorization.

27285552528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2174 (or 2149 counting only the distinct ones).

The product of its digits is 4480000, while the sum is 51.

The spelling of 27285552528 in words is "twenty-seven billion, two hundred eighty-five million, five hundred fifty-two thousand, five hundred twenty-eight".