28086224000 has 128 divisors (see below), whose sum is σ = 71455063680. Its totient is φ = 10972953600.

The previous prime is 28086223969. The next prime is 28086224009. The reversal of 28086224000 is 42268082.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (28086224009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 667589 + ... + 708411.

It is an arithmetic number, because the mean of its divisors is an integer number (558242685).

Almost surely, 2^28086224000 is an apocalyptic number.

28086224000 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 28086224000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35727531840).

28086224000 is an abundant number, since it is smaller than the sum of its proper divisors (43368839680).

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

28086224000 is an equidigital number, since it uses as much as digits as its factorization.

28086224000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40895 (or 40873 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 32.

The spelling of 28086224000 in words is "twenty-eight billion, eighty-six million, two hundred twenty-four thousand".