27828036288 has 168 divisors, whose sum is σ = 87357051600. Its totient is φ = 8417212416.

The previous prime is 27828036263. The next prime is 27828036307. The reversal of 27828036288 is 88263082872.

It is a happy number.

27828036288 is a `hidden beast` number, since 2 + 7 + 8 + 2 + 8 + 0 + 3 + 628 + 8 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 410298 + ... + 473286.

It is an arithmetic number, because the mean of its divisors is an integer number (519982450).

Almost surely, 2^27828036288 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 27828036288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43678525800).

27828036288 is an abundant number, since it is smaller than the sum of its proper divisors (59529015312).

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

27828036288 is a wasteful number, since it uses less digits than its factorization.

27828036288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63079 (or 63066 counting only the distinct ones).

The product of its (nonzero) digits is 4128768, while the sum is 54.

The spelling of 27828036288 in words is "twenty-seven billion, eight hundred twenty-eight million, thirty-six thousand, two hundred eighty-eight".