27773645328 has 240 divisors, whose sum is σ = 93262530816. Its totient is φ = 7603292160.

The previous prime is 27773645327. The next prime is 27773645413. The reversal of 27773645328 is 82354637772.

27773645328 is a `hidden beast` number, since 2 + 7 + 77 + 36 + 4 + 532 + 8 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (27773645327) 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, 953476 + ... + 982172.

Almost surely, 2^27773645328 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 27773645328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46631265408).

27773645328 is an abundant number, since it is smaller than the sum of its proper divisors (65488885488).

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

27773645328 is a wasteful number, since it uses less digits than its factorization.

27773645328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28782 (or 28773 counting only the distinct ones).

The product of its digits is 11854080, while the sum is 54.

The spelling of 27773645328 in words is "twenty-seven billion, seven hundred seventy-three million, six hundred forty-five thousand, three hundred twenty-eight".