82883975328 has 384 divisors, whose sum is σ = 302746429440. Its totient is φ = 21431900160.

The previous prime is 82883975311. The next prime is 82883975351. The reversal of 82883975328 is 82357938828.

82883975328 is a `hidden beast` number, since 8 + 2 + 8 + 8 + 3 + 97 + 532 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 15498351 + ... + 15503697.

It is an arithmetic number, because the mean of its divisors is an integer number (788402160).

Almost surely, 2^82883975328 is an apocalyptic number.

82883975328 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 82883975328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151373214720).

82883975328 is an abundant number, since it is smaller than the sum of its proper divisors (219862454112).

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

82883975328 is a wasteful number, since it uses less digits than its factorization.

82883975328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5617 (or 5603 counting only the distinct ones).

The product of its digits is 46448640, while the sum is 63.

The spelling of 82883975328 in words is "eighty-two billion, eight hundred eighty-three million, nine hundred seventy-five thousand, three hundred twenty-eight".