28444412304000 has 2560 divisors, whose sum is σ = 132664454208000. Its totient is φ = 5867790336000.

The previous prime is 28444412303977. The next prime is 28444412304001. The reversal of 28444412304000 is 40321444482.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (28444412304001) by changing a digit.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 14869007044 + ... + 14869008956.

It is an arithmetic number, because the mean of its divisors is an integer number (51822052425).

Almost surely, 2^{28444412304000} is an apocalyptic number.

28444412304000 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 28444412304000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66332227104000).

28444412304000 is an abundant number, since it is smaller than the sum of its proper divisors (104220041904000).

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

28444412304000 is a wasteful number, since it uses less digits than its factorization.

28444412304000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2121 (or 2090 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 36.

Adding to 28444412304000 its reverse (40321444482), we get a palindrome (28484733748482).

The spelling of 28444412304000 in words is "twenty-eight trillion, four hundred forty-four billion, four hundred twelve million, three hundred four thousand".