82788888728 has 64 divisors (see below), whose sum is σ = 191441214720. Its totient is φ = 32684803200.

The previous prime is 82788888709. The next prime is 82788888733.

82788888728 is nontrivially palindromic in base 10.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 241643 + ... + 473253.

It is an arithmetic number, because the mean of its divisors is an integer number (2991268980).

Almost surely, 2^82788888728 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 82788888728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95720607360).

82788888728 is an abundant number, since it is smaller than the sum of its proper divisors (108652325992).

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

82788888728 is a wasteful number, since it uses less digits than its factorization.

82788888728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232128 (or 232124 counting only the distinct ones).

The product of its digits is 411041792, while the sum is 74.

The spelling of 82788888728 in words is "eighty-two billion, seven hundred eighty-eight million, eight hundred eighty-eight thousand, seven hundred twenty-eight".