82128312 has 72 divisors (see below), whose sum is σ = 258757200. Its totient is φ = 23464224.

The previous prime is 82128257. The next prime is 82128337. The reversal of 82128312 is 21382128.

It is a tau number, because it is divible by the number of its divisors (72).

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 17 ways as a sum of consecutive naturals, for example, 8112 + ... + 15167.

It is an arithmetic number, because the mean of its divisors is an integer number (3593850).

Almost surely, 2^82128312 is an apocalyptic number.

It is an amenable number.

82128312 is an abundant number, since it is smaller than the sum of its proper divisors (176628888).

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

82128312 is a wasteful number, since it uses less digits than its factorization.

82128312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23305 (or 23291 counting only the distinct ones).

The product of its digits is 1536, while the sum is 27.

The square root of 82128312 is about 9062.4672137338. The cubic root of 82128312 is about 434.6746358123.

The spelling of 82128312 in words is "eighty-two million, one hundred twenty-eight thousand, three hundred twelve".