82845532728 has 256 divisors, whose sum is σ = 269630592000. Its totient is φ = 23075684352.

The previous prime is 82845532717. The next prime is 82845532747. The reversal of 82845532728 is 82723554828.

82845532728 is a `hidden beast` number, since 8 + 2 + 84 + 5 + 532 + 7 + 28 = 666.

It is a super-2 number, since 2×82845532728² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 49996476 + ... + 49998132.

It is an arithmetic number, because the mean of its divisors is an integer number (1053244500).

Almost surely, 2^82845532728 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 82845532728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134815296000).

82845532728 is an abundant number, since it is smaller than the sum of its proper divisors (186785059272).

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

82845532728 is a wasteful number, since it uses less digits than its factorization.

82845532728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2491 (or 2481 counting only the distinct ones).

The product of its digits is 8601600, while the sum is 54.

The spelling of 82845532728 in words is "eighty-two billion, eight hundred forty-five million, five hundred thirty-two thousand, seven hundred twenty-eight".