82608211728 has 360 divisors, whose sum is σ = 274642011072. Its totient is φ = 23105972736.

The previous prime is 82608211709. The next prime is 82608211739. The reversal of 82608211728 is 82711280628.

It is a happy number.

82608211728 is a `hidden beast` number, since 8 + 2 + 608 + 2 + 1 + 17 + 28 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 93131701 + ... + 93132587.

Almost surely, 2^82608211728 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 82608211728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137321005536).

82608211728 is an abundant number, since it is smaller than the sum of its proper divisors (192033799344).

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

82608211728 is a wasteful number, since it uses less digits than its factorization.

82608211728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1179 (or 1163 counting only the distinct ones).

The product of its (nonzero) digits is 172032, while the sum is 45.

The spelling of 82608211728 in words is "eighty-two billion, six hundred eight million, two hundred eleven thousand, seven hundred twenty-eight".