27284981328 has 320 divisors, whose sum is σ = 92039823360. Its totient is φ = 7652620800.

The previous prime is 27284981327. The next prime is 27284981329. The reversal of 27284981328 is 82318948272.

27284981328 is a `hidden beast` number, since 272 + 8 + 49 + 8 + 1 + 328 = 666.

It is an interprime number because it is at equal distance from previous prime (27284981327) and next prime (27284981329).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27284981323) 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 63 ways as a sum of consecutive naturals, for example, 3384150 + ... + 3392202.

It is an arithmetic number, because the mean of its divisors is an integer number (287624448).

Almost surely, 2^27284981328 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 27284981328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46019911680).

27284981328 is an abundant number, since it is smaller than the sum of its proper divisors (64754842032).

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

27284981328 is a wasteful number, since it uses less digits than its factorization.

27284981328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8135 (or 8123 counting only the distinct ones).

The product of its digits is 3096576, while the sum is 54.

The spelling of 27284981328 in words is "twenty-seven billion, two hundred eighty-four million, nine hundred eighty-one thousand, three hundred twenty-eight".