28681143461760 has 256 divisors, whose sum is σ = 93632326824960. Its totient is φ = 7463640834048.

The previous prime is 28681143461749. The next prime is 28681143461777. The reversal of 28681143461760 is 6716434118682.

It is a self number, because there is not a number n which added to its sum of digits gives 28681143461760.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 90906202 + ... + 91221158.

It is an arithmetic number, because the mean of its divisors is an integer number (365751276660).

Almost surely, 2^{28681143461760} is an apocalyptic number.

28681143461760 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 28681143461760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46816163412480).

28681143461760 is an abundant number, since it is smaller than the sum of its proper divisors (64951183363200).

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

28681143461760 is a wasteful number, since it uses less digits than its factorization.

28681143461760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 316125 (or 316113 counting only the distinct ones).

The product of its (nonzero) digits is 9289728, while the sum is 57.

The spelling of 28681143461760 in words is "twenty-eight trillion, six hundred eighty-one billion, one hundred forty-three million, four hundred sixty-one thousand, seven hundred sixty".