82628096 has 40 divisors (see below), whose sum is σ = 167493744. Its totient is φ = 40714240.

The previous prime is 82628083. The next prime is 82628107. The reversal of 82628096 is 69082628.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 35216 + ... + 37488.

Almost surely, 2^82628096 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 82628096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83746872).

82628096 is an abundant number, since it is smaller than the sum of its proper divisors (84865648).

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

82628096 is an equidigital number, since it uses as much as digits as its factorization.

82628096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2362 (or 2346 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 41.

The square root of 82628096 is about 9089.9997799780. Note that the first 3 decimals coincide. The cubic root of 82628096 is about 435.5545769488.

The spelling of 82628096 in words is "eighty-two million, six hundred twenty-eight thousand, ninety-six".