82635053628 has 48 divisors (see below), whose sum is σ = 196081540256. Its totient is φ = 27080801280.

The previous prime is 82635053617. The next prime is 82635053629.

82635053628 is nontrivially palindromic in base 10.

It is a super-3 number, since 3×82635053628³ (a number of 34 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82635053629) 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, 123498 + ... + 424878.

Almost surely, 2^82635053628 is an apocalyptic number.

It is an amenable number.

82635053628 is an abundant number, since it is smaller than the sum of its proper divisors (113446486628).

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

82635053628 is a wasteful number, since it uses less digits than its factorization.

82635053628 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 301774 (or 301772 counting only the distinct ones).

The product of its (nonzero) digits is 2073600, while the sum is 48.

It can be divided in two parts, 826350 and 53628, that added together give a palindrome (879978).

The spelling of 82635053628 in words is "eighty-two billion, six hundred thirty-five million, fifty-three thousand, six hundred twenty-eight".