27728213184 has 168 divisors, whose sum is σ = 90909026208. Its totient is φ = 7915622400.

The previous prime is 27728213113. The next prime is 27728213189. The reversal of 27728213184 is 48131282772.

It is a tau number, because it is divible by the number of its divisors (168).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (27728213189) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6598284 + ... + 6602484.

It is an arithmetic number, because the mean of its divisors is an integer number (541125156).

Almost surely, 2^27728213184 is an apocalyptic number.

27728213184 is a gapful number since it is divisible by the number (24) 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 27728213184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45454513104).

27728213184 is an abundant number, since it is smaller than the sum of its proper divisors (63180813024).

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

27728213184 is a wasteful number, since it uses less digits than its factorization.

27728213184 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5863 (or 5850 counting only the distinct ones).

The product of its digits is 301056, while the sum is 45.

The spelling of 27728213184 in words is "twenty-seven billion, seven hundred twenty-eight million, two hundred thirteen thousand, one hundred eighty-four".