28681481481840 has 720 divisors, whose sum is σ = 115352951626080. Its totient is φ = 6544064102400.

The previous prime is 28681481481817. The next prime is 28681481481847. The reversal of 28681481481840 is 4818418418682.

28681481481840 is a `hidden beast` number, since 2 + 8 + 6 + 8 + 148 + 1 + 481 + 8 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28681481481847) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 75343180 + ... + 75722900.

It is an arithmetic number, because the mean of its divisors is an integer number (160212432814).

Almost surely, 2^{28681481481840} is an apocalyptic number.

28681481481840 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 28681481481840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57676475813040).

28681481481840 is an abundant number, since it is smaller than the sum of its proper divisors (86671470144240).

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

28681481481840 is a wasteful number, since it uses less digits than its factorization.

28681481481840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 379799 (or 379759 counting only the distinct ones).

The product of its (nonzero) digits is 25165824, while the sum is 63.

The spelling of 28681481481840 in words is "twenty-eight trillion, six hundred eighty-one billion, four hundred eighty-one million, four hundred eighty-one thousand, eight hundred forty".