28681000058880 has 2160 divisors, whose sum is σ = 117021390171840. Its totient is φ = 6704402006016.

The previous prime is 28681000058873. The next prime is 28681000058881. The reversal of 28681000058880 is 8885000018682.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (2160).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (28681000058881) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 206338129851 + ... + 206338129989.

It is an arithmetic number, because the mean of its divisors is an integer number (54176569524).

Almost surely, 2^{28681000058880} is an apocalyptic number.

28681000058880 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 28681000058880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58510695085920).

28681000058880 is an abundant number, since it is smaller than the sum of its proper divisors (88340390112960).

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

28681000058880 is an equidigital number, since it uses as much as digits as its factorization.

28681000058880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 239 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 1966080, while the sum is 54.

The spelling of 28681000058880 in words is "twenty-eight trillion, six hundred eighty-one billion, fifty-eight thousand, eight hundred eighty".