82193839128 has 32 divisors (see below), whose sum is σ = 228316220400. Its totient is φ = 27397946304.

The previous prime is 82193839093. The next prime is 82193839141.

82193839128 is a `hidden beast` number, since 8 + 219 + 38 + 391 + 2 + 8 = 666.

82193839128 is nontrivially palindromic in base 10.

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

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 7 ways as a sum of consecutive naturals, for example, 190263301 + ... + 190263732.

Almost surely, 2^82193839128 is an apocalyptic number.

It is an amenable number.

82193839128 is an abundant number, since it is smaller than the sum of its proper divisors (146122381272).

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

82193839128 is a wasteful number, since it uses less digits than its factorization.

82193839128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 380527048 (or 380527038 counting only the distinct ones).

The product of its digits is 1492992, while the sum is 54.

The spelling of 82193839128 in words is "eighty-two billion, one hundred ninety-three million, eight hundred thirty-nine thousand, one hundred twenty-eight".