82611628 has 24 divisors (see below), whose sum is σ = 157948560. Its totient is φ = 37494720.

The previous prime is 82611593. The next prime is 82611631.

82611628 is nontrivially palindromic in base 10.

It is a hoax number, since the sum of its digits (34) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 82611593 and 82611602.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 47950 + ... + 49642.

It is an arithmetic number, because the mean of its divisors is an integer number (6581190).

Almost surely, 2^82611628 is an apocalyptic number.

It is an amenable number.

82611628 is a deficient number, since it is larger than the sum of its proper divisors (75336932).

82611628 is a wasteful number, since it uses less digits than its factorization.

82611628 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2817 (or 2815 counting only the distinct ones).

The product of its digits is 9216, while the sum is 34.

The square root of 82611628 is about 9089.0939042349. The cubic root of 82611628 is about 435.5256392965.

It can be divided in two parts, 8261 and 1628, that added together give a palindrome (9889).

The spelling of 82611628 in words is "eighty-two million, six hundred eleven thousand, six hundred twenty-eight".