82281184128 has 576 divisors, whose sum is σ = 290257793280. Its totient is φ = 22999541760.

The previous prime is 82281184123. The next prime is 82281184159. The reversal of 82281184128 is 82148118228.

82281184128 is a `hidden beast` number, since 8 + 228 + 1 + 1 + 8 + 412 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82281184123) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 57821625 + ... + 57823047.

It is an arithmetic number, because the mean of its divisors is an integer number (503919780).

Almost surely, 2^82281184128 is an apocalyptic number.

82281184128 is a gapful number since it is divisible by the number (88) 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 82281184128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145128896640).

82281184128 is an abundant number, since it is smaller than the sum of its proper divisors (207976609152).

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

82281184128 is a wasteful number, since it uses less digits than its factorization.

82281184128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1489 (or 1452 counting only the distinct ones).

The product of its digits is 131072, while the sum is 45.

The spelling of 82281184128 in words is "eighty-two billion, two hundred eighty-one million, one hundred eighty-four thousand, one hundred twenty-eight".