82123432128 has 84 divisors (see below), whose sum is σ = 235432533960. Its totient is φ = 27369762816.

The previous prime is 82123432121. The next prime is 82123432211.

82123432128 is a `hidden beast` number, since 8 + 212 + 3 + 432 + 1 + 2 + 8 = 666.

82123432128 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is a junction number, because it is equal to n+sod(n) for n = 82123432092 and 82123432101.

It is not an unprimeable number, because it can be changed into a prime (82123432121) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5417776 + ... + 5432912.

Almost surely, 2^82123432128 is an apocalyptic number.

It is an amenable number.

82123432128 is an abundant number, since it is smaller than the sum of its proper divisors (153309101832).

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

82123432128 is a wasteful number, since it uses less digits than its factorization.

82123432128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24574 (or 24561 counting only the distinct ones).

The product of its digits is 36864, while the sum is 36.

The spelling of 82123432128 in words is "eighty-two billion, one hundred twenty-three million, four hundred thirty-two thousand, one hundred twenty-eight".