82688628 has 48 divisors (see below), whose sum is σ = 217748160. Its totient is φ = 24192000.

The previous prime is 82688621. The next prime is 82688647.

82688628 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 (82688621) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6973 + ... + 14628.

It is an arithmetic number, because the mean of its divisors is an integer number (4536420).

Almost surely, 2^82688628 is an apocalyptic number.

It is an amenable number.

82688628 is an abundant number, since it is smaller than the sum of its proper divisors (135059532).

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

82688628 is a wasteful number, since it uses less digits than its factorization.

82688628 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21648 (or 21646 counting only the distinct ones).

The product of its digits is 589824, while the sum is 48.

The square root of 82688628 is about 9093.3287634397. The cubic root of 82688628 is about 435.6609110545.

The spelling of 82688628 in words is "eighty-two million, six hundred eighty-eight thousand, six hundred twenty-eight".