82339893328 has 80 divisors (see below), whose sum is σ = 203130998784. Its totient is φ = 31397892480.

The previous prime is 82339893319. The next prime is 82339893331.

82339893328 is nontrivially palindromic in base 10.

It is a super-4 number, since 4×82339893328⁴ (a number of 45 digits) contains 4444 as substring.

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, 653100 + ... + 768907.

Almost surely, 2^82339893328 is an apocalyptic number.

82339893328 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

82339893328 is an abundant number, since it is smaller than the sum of its proper divisors (120791105456).

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

82339893328 is a wasteful number, since it uses less digits than its factorization.

82339893328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1422080 (or 1422074 counting only the distinct ones).

The product of its digits is 13436928, while the sum is 58.

The spelling of 82339893328 in words is "eighty-two billion, three hundred thirty-nine million, eight hundred ninety-three thousand, three hundred twenty-eight".