82448659728 has 240 divisors, whose sum is σ = 258309717120. Its totient is φ = 25380698112.

The previous prime is 82448659691. The next prime is 82448659729. The reversal of 82448659728 is 82795684428.

82448659728 is a `hidden beast` number, since 82 + 4 + 486 + 5 + 9 + 72 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (82448659729) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2577400 + ... + 2609192.

It is an arithmetic number, because the mean of its divisors is an integer number (1076290488).

Almost surely, 2^82448659728 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 82448659728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129154858560).

82448659728 is an abundant number, since it is smaller than the sum of its proper divisors (175861057392).

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

82448659728 is a wasteful number, since it uses less digits than its factorization.

82448659728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31868 (or 31850 counting only the distinct ones).

The product of its digits is 61931520, while the sum is 63.

The spelling of 82448659728 in words is "eighty-two billion, four hundred forty-eight million, six hundred fifty-nine thousand, seven hundred twenty-eight".