82781745228 has 360 divisors, whose sum is σ = 271258923600. Its totient is φ = 21820990464.

The previous prime is 82781745209. The next prime is 82781745229. The reversal of 82781745228 is 82254718728.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (82781745229) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 43822108 + ... + 43823996.

It is an arithmetic number, because the mean of its divisors is an integer number (753497010).

Almost surely, 2^82781745228 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 82781745228, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135629461800).

82781745228 is an abundant number, since it is smaller than the sum of its proper divisors (188477178372).

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

82781745228 is a wasteful number, since it uses less digits than its factorization.

82781745228 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1956 (or 1914 counting only the distinct ones).

The product of its digits is 4014080, while the sum is 54.

The spelling of 82781745228 in words is "eighty-two billion, seven hundred eighty-one million, seven hundred forty-five thousand, two hundred twenty-eight".