27824728032 has 288 divisors, whose sum is σ = 85819668480. Its totient is φ = 8526228480.

The previous prime is 27824728031. The next prime is 27824728037. The reversal of 27824728032 is 23082742872.

27824728032 is a `hidden beast` number, since 2 + 78 + 2 + 472 + 80 + 32 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27824728031) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 36756198 + ... + 36756954.

It is an arithmetic number, because the mean of its divisors is an integer number (297984960).

Almost surely, 2^27824728032 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 27824728032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42909834240).

27824728032 is an abundant number, since it is smaller than the sum of its proper divisors (57994940448).

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

27824728032 is a wasteful number, since it uses less digits than its factorization.

27824728032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1006 (or 995 counting only the distinct ones).

The product of its (nonzero) digits is 602112, while the sum is 45.

The spelling of 27824728032 in words is "twenty-seven billion, eight hundred twenty-four million, seven hundred twenty-eight thousand, thirty-two".