27728593920 has 1232 divisors, whose sum is σ = 115985312640. Its totient is φ = 6306398208.

The previous prime is 27728593889. The next prime is 27728593933. The reversal of 27728593920 is 2939582772.

27728593920 is a `hidden beast` number, since 2 + 7 + 7 + 28 + 593 + 9 + 20 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 1205591029 + ... + 1205591051.

Almost surely, 2^27728593920 is an apocalyptic number.

27728593920 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27728593920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57992656320).

27728593920 is an abundant number, since it is smaller than the sum of its proper divisors (88256718720).

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

27728593920 is a wasteful number, since it uses less digits than its factorization.

27728593920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 3810240, while the sum is 54.

The spelling of 27728593920 in words is "twenty-seven billion, seven hundred twenty-eight million, five hundred ninety-three thousand, nine hundred twenty".