28284755834880 has 768 divisors, whose sum is σ = 102694682563200. Its totient is φ = 7475184009216.

The previous prime is 28284755834861. The next prime is 28284755834899. The reversal of 28284755834880 is 8843855748282.

28284755834880 is a `hidden beast` number, since 2 + 8 + 28 + 4 + 7 + 558 + 3 + 48 + 8 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (28284755834861) and next prime (28284755834899).

It is a tau number, because it is divible by the number of its divisors (768).

It is a super-2 number, since 2×28284755834880² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 28284755834799 and 28284755834808.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2530615852 + ... + 2530627028.

Almost surely, 2^{28284755834880} is an apocalyptic number.

28284755834880 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 28284755834880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51347341281600).

28284755834880 is an abundant number, since it is smaller than the sum of its proper divisors (74409926728320).

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

28284755834880 is an equidigital number, since it uses as much as digits as its factorization.

28284755834880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11338 (or 11300 counting only the distinct ones).

The product of its (nonzero) digits is 1101004800, while the sum is 72.

The spelling of 28284755834880 in words is "twenty-eight trillion, two hundred eighty-four billion, seven hundred fifty-five million, eight hundred thirty-four thousand, eight hundred eighty".