82677628 has 24 divisors (see below), whose sum is σ = 159747840. Its totient is φ = 37126320.

The previous prime is 82677611. The next prime is 82677629.

82677628 is nontrivially palindromic in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82677629) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7668 + ... + 14971.

It is an arithmetic number, because the mean of its divisors is an integer number (6656160).

Almost surely, 2^82677628 is an apocalyptic number.

It is an amenable number.

82677628 is a deficient number, since it is larger than the sum of its proper divisors (77070212).

82677628 is a wasteful number, since it uses less digits than its factorization.

82677628 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22737 (or 22735 counting only the distinct ones).

The product of its digits is 451584, while the sum is 46.

The square root of 82677628 is about 9092.7239043094. The cubic root of 82677628 is about 435.6415916605.

The spelling of 82677628 in words is "eighty-two million, six hundred seventy-seven thousand, six hundred twenty-eight".