28182784608 has 144 divisors (see below), whose sum is σ = 87505209792. Its totient is φ = 8532960000.

The previous prime is 28182784601. The next prime is 28182784621. The reversal of 28182784608 is 80648728182.

28182784608 is a `hidden beast` number, since 2 + 8 + 1 + 8 + 27 + 8 + 4 + 608 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28182784601) 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 23 ways as a sum of consecutive naturals, for example, 4593703 + ... + 4599833.

It is an arithmetic number, because the mean of its divisors is an integer number (607675068).

Almost surely, 2^28182784608 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28182784608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43752604896).

28182784608 is an abundant number, since it is smaller than the sum of its proper divisors (59322425184).

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

28182784608 is a wasteful number, since it uses less digits than its factorization.

28182784608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7609 (or 7598 counting only the distinct ones).

The product of its (nonzero) digits is 2752512, while the sum is 54.

The spelling of 28182784608 in words is "twenty-eight billion, one hundred eighty-two million, seven hundred eighty-four thousand, six hundred eight".