27815928000 has 896 divisors, whose sum is σ = 111581184000. Its totient is φ = 6096384000.

The previous prime is 27815927987. The next prime is 27815928001. The reversal of 27815928000 is 82951872.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (27815928001) 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 127 ways as a sum of consecutive naturals, for example, 255191946 + ... + 255192054.

Almost surely, 2^27815928000 is an apocalyptic number.

27815928000 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 27815928000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55790592000).

27815928000 is an abundant number, since it is smaller than the sum of its proper divisors (83765256000).

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

27815928000 is a wasteful number, since it uses less digits than its factorization.

27815928000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191 (or 157 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 42.

The spelling of 27815928000 in words is "twenty-seven billion, eight hundred fifteen million, nine hundred twenty-eight thousand".