82028464648 has 64 divisors (see below), whose sum is σ = 168374505600. Its totient is φ = 37235573760.

The previous prime is 82028464643. The next prime is 82028464649. The reversal of 82028464648 is 84646482028.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a junction number, because it is equal to n+sod(n) for n = 82028464595 and 82028464604.

It is not an unprimeable number, because it can be changed into a prime (82028464643) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 3080640 + ... + 3107152.

It is an arithmetic number, because the mean of its divisors is an integer number (2630851650).

Almost surely, 2^82028464648 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82028464648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84187252800).

82028464648 is an abundant number, since it is smaller than the sum of its proper divisors (86346040952).

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

82028464648 is a wasteful number, since it uses less digits than its factorization.

82028464648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27022 (or 27018 counting only the distinct ones).

The product of its (nonzero) digits is 4718592, while the sum is 52.

The spelling of 82028464648 in words is "eighty-two billion, twenty-eight million, four hundred sixty-four thousand, six hundred forty-eight".