27875328000 has 480 divisors, whose sum is σ = 100188379200. Its totient is φ = 6841958400.

The previous prime is 27875327989. The next prime is 27875328001. The reversal of 27875328000 is 82357872.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×27875328000² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27875328001) 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, 79871826 + ... + 79872174.

It is an arithmetic number, because the mean of its divisors is an integer number (208725790).

Almost surely, 2^27875328000 is an apocalyptic number.

27875328000 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 27875328000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50094189600).

27875328000 is an abundant number, since it is smaller than the sum of its proper divisors (72313051200).

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

27875328000 is an equidigital number, since it uses as much as digits as its factorization.

27875328000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 408 (or 372 counting only the distinct ones).

The product of its (nonzero) digits is 188160, while the sum is 42.

The spelling of 27875328000 in words is "twenty-seven billion, eight hundred seventy-five million, three hundred twenty-eight thousand".