82633628 has 24 divisors (see below), whose sum is σ = 180292224. Its totient is φ = 32194800.

The previous prime is 82633627. The next prime is 82633657.

It is a happy number.

82633628 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 82633591 and 82633600.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82633627) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 133838 + ... + 134453.

It is an arithmetic number, because the mean of its divisors is an integer number (7512176).

Almost surely, 2^82633628 is an apocalyptic number.

It is an amenable number.

82633628 is an abundant number, since it is smaller than the sum of its proper divisors (97658596).

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

82633628 is a wasteful number, since it uses less digits than its factorization.

82633628 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 268313 (or 268311 counting only the distinct ones).

The product of its digits is 82944, while the sum is 38.

The square root of 82633628 is about 9090.3040653215. The cubic root of 82633628 is about 435.5642969442.

The spelling of 82633628 in words is "eighty-two million, six hundred thirty-three thousand, six hundred twenty-eight".