28794440908800 has 2736 divisors, whose sum is σ = 127622948171040. Its totient is φ = 6421059993600.

The previous prime is 28794440908799. The next prime is 28794440908801. The reversal of 28794440908800 is 880904449782.

28794440908800 is a `hidden beast` number, since 28 + 7 + 9 + 4 + 440 + 90 + 8 + 80 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (28794440908799) and next prime (28794440908801).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (28794440908801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 702303436780 + ... + 702303436820.

It is an arithmetic number, because the mean of its divisors is an integer number (46645814390).

Almost surely, 2^{28794440908800} is an apocalyptic number.

28794440908800 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 28794440908800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63811474085520).

28794440908800 is an abundant number, since it is smaller than the sum of its proper divisors (98828507262240).

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

28794440908800 is an frugal number, since it uses more digits than its factorization.

28794440908800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 37158912, while the sum is 63.

The spelling of 28794440908800 in words is "twenty-eight trillion, seven hundred ninety-four billion, four hundred forty million, nine hundred eight thousand, eight hundred".