27748224000 has 1408 divisors, whose sum is σ = 124258467840. Its totient is φ = 5971968000.

The previous prime is 27748223927. The next prime is 27748224011. The reversal of 27748224000 is 42284772.

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 127 ways as a sum of consecutive naturals, for example, 749951982 + ... + 749952018.

Almost surely, 2^27748224000 is an apocalyptic number.

27748224000 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 27748224000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62129233920).

27748224000 is an abundant number, since it is smaller than the sum of its proper divisors (96510243840).

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

27748224000 is a wasteful number, since it uses less digits than its factorization.

27748224000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119 (or 85 counting only the distinct ones).

The product of its (nonzero) digits is 50176, while the sum is 36.

The spelling of 27748224000 in words is "twenty-seven billion, seven hundred forty-eight million, two hundred twenty-four thousand".