82111128 has 32 divisors (see below), whose sum is σ = 223940160. Its totient is φ = 24882080.

The previous prime is 82111109. The next prime is 82111147.

82111128 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (82111109) and next prime (82111147).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 82111098 and 82111107.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 155250 + ... + 155777.

It is an arithmetic number, because the mean of its divisors is an integer number (6998130).

Almost surely, 2^82111128 is an apocalyptic number.

82111128 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

82111128 is an abundant number, since it is smaller than the sum of its proper divisors (141829032).

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

82111128 is a wasteful number, since it uses less digits than its factorization.

82111128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 311047 (or 311043 counting only the distinct ones).

The product of its digits is 256, while the sum is 24.

The square root of 82111128 is about 9061.5190779471. The cubic root of 82111128 is about 434.6443175222.

It can be divided in two parts, 8211 and 1128, that added together give a palindrome (9339).

The spelling of 82111128 in words is "eighty-two million, one hundred eleven thousand, one hundred twenty-eight".