82782028728 has 128 divisors (see below), whose sum is σ = 263009856000. Its totient is φ = 23633130240.

The previous prime is 82782028709. The next prime is 82782028729.

82782028728 is nontrivially palindromic in base 10.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82782028729) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1930788 + ... + 1973196.

It is an arithmetic number, because the mean of its divisors is an integer number (2054764500).

Almost surely, 2^82782028728 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 82782028728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131504928000).

82782028728 is an abundant number, since it is smaller than the sum of its proper divisors (180227827272).

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

82782028728 is a wasteful number, since it uses less digits than its factorization.

82782028728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43722 (or 43712 counting only the distinct ones).

The product of its (nonzero) digits is 3211264, while the sum is 54.

The spelling of 82782028728 in words is "eighty-two billion, seven hundred eighty-two million, twenty-eight thousand, seven hundred twenty-eight".