28082089373184 has 1280 divisors, whose sum is σ = 106404046848000. Its totient is φ = 7100417802240.

The previous prime is 28082089373183. The next prime is 28082089373231. The reversal of 28082089373184 is 48137398028082.

28082089373184 is a `hidden beast` number, since 2 + 8 + 0 + 8 + 2 + 0 + 89 + 373 + 184 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28082089373183) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 16431882922 + ... + 16431884630.

It is an arithmetic number, because the mean of its divisors is an integer number (83128161600).

Almost surely, 2^{28082089373184} is an apocalyptic number.

28082089373184 is a gapful number since it is divisible by the number (24) 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 28082089373184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53202023424000).

28082089373184 is an abundant number, since it is smaller than the sum of its proper divisors (78321957474816).

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

28082089373184 is a wasteful number, since it uses less digits than its factorization.

28082089373184 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2156 (or 2134 counting only the distinct ones).

The product of its (nonzero) digits is 37158912, while the sum is 63.

The spelling of 28082089373184 in words is "twenty-eight trillion, eighty-two billion, eighty-nine million, three hundred seventy-three thousand, one hundred eighty-four".