82666728 has 48 divisors (see below), whose sum is σ = 224374020. Its totient is φ = 27495936.

The previous prime is 82666721. The next prime is 82666741. The reversal of 82666728 is 82766628.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 50381604 + 32285124 = 7098^2 + 5682^2 .

It is not an unprimeable number, because it can be changed into a prime (82666721) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 43200 + ... + 45072.

Almost surely, 2^82666728 is an apocalyptic number.

It is an amenable number.

82666728 is an abundant number, since it is smaller than the sum of its proper divisors (141707292).

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

82666728 is a wasteful number, since it uses less digits than its factorization.

82666728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2498 (or 2491 counting only the distinct ones).

The product of its digits is 387072, while the sum is 45.

The square root of 82666728 is about 9092.1245042069. The cubic root of 82666728 is about 435.6224462070.

The spelling of 82666728 in words is "eighty-two million, six hundred sixty-six thousand, seven hundred twenty-eight".