28142171846880 has 768 divisors, whose sum is σ = 110305314072576. Its totient is φ = 5872551690240.

The previous prime is 28142171846879. The next prime is 28142171846903. The reversal of 28142171846880 is 8864817124182.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3051960670 + ... + 3051969890.

It is an arithmetic number, because the mean of its divisors is an integer number (143626711032).

Almost surely, 2^{28142171846880} is an apocalyptic number.

28142171846880 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 28142171846880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55152657036288).

28142171846880 is an abundant number, since it is smaller than the sum of its proper divisors (82163142225696).

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

28142171846880 is a wasteful number, since it uses less digits than its factorization.

28142171846880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10019 (or 10011 counting only the distinct ones).

The product of its (nonzero) digits is 11010048, while the sum is 60.

The spelling of 28142171846880 in words is "twenty-eight trillion, one hundred forty-two billion, one hundred seventy-one million, eight hundred forty-six thousand, eight hundred eighty".