28300503168000 has 2464 divisors, whose sum is σ = 124355156460288. Its totient is φ = 6288482304000.

The previous prime is 28300503167969. The next prime is 28300503168013. The reversal of 28300503168000 is 86130500382.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 24167807415 + ... + 24167808585.

Almost surely, 2^{28300503168000} is an apocalyptic number.

28300503168000 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 28300503168000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62177578230144).

28300503168000 is an abundant number, since it is smaller than the sum of its proper divisors (96054653292288).

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

28300503168000 is an equidigital number, since it uses as much as digits as its factorization.

28300503168000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1268 (or 1225 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

Adding to 28300503168000 its reverse (86130500382), we get a palindrome (28386633668382).

The spelling of 28300503168000 in words is "twenty-eight trillion, three hundred billion, five hundred three million, one hundred sixty-eight thousand".