27806328000 has 1120 divisors, whose sum is σ = 115988640768. Its totient is φ = 6518016000.

The previous prime is 27806327929. The next prime is 27806328037. The reversal of 27806328000 is 82360872.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 335015959 + ... + 335016041.

Almost surely, 2^27806328000 is an apocalyptic number.

27806328000 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 27806328000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57994320384).

27806328000 is an abundant number, since it is smaller than the sum of its proper divisors (88182312768).

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

27806328000 is a wasteful number, since it uses less digits than its factorization.

27806328000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180 (or 151 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

Adding to 27806328000 its reverse (82360872), we get a palindrome (27888688872).

The spelling of 27806328000 in words is "twenty-seven billion, eight hundred six million, three hundred twenty-eight thousand".