28133838131200 has 312 divisors, whose sum is σ = 70855385445000. Its totient is φ = 11078499041280.

The previous prime is 28133838131197. The next prime is 28133838131207. The reversal of 28133838131200 is 213183833182.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 19529894301696 + 8603943829504 = 4419264^2 + 2933248^2 .

It is not an unprimeable number, because it can be changed into a prime (28133838131207) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 2123462176 + ... + 2123475424.

It is an arithmetic number, because the mean of its divisors is an integer number (227100594375).

Almost surely, 2^{28133838131200} is an apocalyptic number.

28133838131200 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 28133838131200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35427692722500).

28133838131200 is an abundant number, since it is smaller than the sum of its proper divisors (42721547313800).

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

28133838131200 is a wasteful number, since it uses less digits than its factorization.

28133838131200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13605 (or 13578 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 43.

The spelling of 28133838131200 in words is "twenty-eight trillion, one hundred thirty-three billion, eight hundred thirty-eight million, one hundred thirty-one thousand, two hundred".