82382977928328 has 256 divisors, whose sum is σ = 262314704240640. Its totient is φ = 20937047788800.

The previous prime is 82382977928309. The next prime is 82382977928393.

82382977928328 is nontrivially palindromic in base 10.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 315243525 + ... + 315504747.

It is an arithmetic number, because the mean of its divisors is an integer number (1024666813440).

Almost surely, 2^{82382977928328} is an apocalyptic number.

82382977928328 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82382977928328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131157352120320).

82382977928328 is an abundant number, since it is smaller than the sum of its proper divisors (179931726312312).

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

82382977928328 is a wasteful number, since it uses less digits than its factorization.

82382977928328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 264928 (or 264924 counting only the distinct ones).

The product of its digits is 2341011456, while the sum is 78.

The spelling of 82382977928328 in words is "eighty-two trillion, three hundred eighty-two billion, nine hundred seventy-seven million, nine hundred twenty-eight thousand, three hundred twenty-eight".