82909128 has 64 divisors (see below), whose sum is σ = 218603520. Its totient is φ = 26164800.

The previous prime is 82909111. The next prime is 82909163. The reversal of 82909128 is 82190928.

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 15 ways as a sum of consecutive naturals, for example, 33783 + ... + 36153.

It is an arithmetic number, because the mean of its divisors is an integer number (3415680).

Almost surely, 2^82909128 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82909128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109301760).

82909128 is an abundant number, since it is smaller than the sum of its proper divisors (135694392).

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

82909128 is a wasteful number, since it uses less digits than its factorization.

82909128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2458 (or 2454 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 39.

The square root of 82909128 is about 9105.4449644155. Note that the first 3 decimals coincide. The cubic root of 82909128 is about 436.0478162074.

The spelling of 82909128 in words is "eighty-two million, nine hundred nine thousand, one hundred twenty-eight".