27750541728 has 192 divisors, whose sum is σ = 92748015360. Its totient is φ = 7066386432.

The previous prime is 27750541727. The next prime is 27750541747. The reversal of 27750541728 is 82714505772.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (27750541727) 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 31 ways as a sum of consecutive naturals, for example, 198576 + ... + 308112.

It is an arithmetic number, because the mean of its divisors is an integer number (483062580).

Almost surely, 2^27750541728 is an apocalyptic number.

27750541728 is a gapful number since it is divisible by the number (28) 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 27750541728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46374007680).

27750541728 is an abundant number, since it is smaller than the sum of its proper divisors (64997473632).

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

27750541728 is a wasteful number, since it uses less digits than its factorization.

27750541728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109599 (or 109591 counting only the distinct ones).

The product of its (nonzero) digits is 1097600, while the sum is 48.

The spelling of 27750541728 in words is "twenty-seven billion, seven hundred fifty million, five hundred forty-one thousand, seven hundred twenty-eight".