281889682672 has 120 divisors (see below), whose sum is σ = 625779553200. Its totient is φ = 122612465664.

The previous prime is 281889682667. The next prime is 281889682673. The reversal of 281889682672 is 276286988182.

It is a junction number, because it is equal to n+sod(n) for n = 281889682598 and 281889682607.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (281889682673) 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, 9901354 + ... + 9929782.

It is an arithmetic number, because the mean of its divisors is an integer number (5214829610).

Almost surely, 2^281889682672 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 281889682672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (312889776600).

281889682672 is an abundant number, since it is smaller than the sum of its proper divisors (343889870528).

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

281889682672 is a wasteful number, since it uses less digits than its factorization.

281889682672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28675 (or 28656 counting only the distinct ones).

The product of its digits is 74317824, while the sum is 67.

The spelling of 281889682672 in words is "two hundred eighty-one billion, eight hundred eighty-nine million, six hundred eighty-two thousand, six hundred seventy-two".