82889352 has 128 divisors (see below), whose sum is σ = 283449600. Its totient is φ = 21855744.

The previous prime is 82889327. The next prime is 82889363. The reversal of 82889352 is 25398828.

It is a junction number, because it is equal to n+sod(n) for n = 82889298 and 82889307.

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 31 ways as a sum of consecutive naturals, for example, 17548 + ... + 21764.

It is an arithmetic number, because the mean of its divisors is an integer number (2214450).

Almost surely, 2^82889352 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 82889352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141724800).

82889352 is an abundant number, since it is smaller than the sum of its proper divisors (200560248).

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

82889352 is a wasteful number, since it uses less digits than its factorization.

82889352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4252 (or 4242 counting only the distinct ones).

The product of its digits is 276480, while the sum is 45.

The square root of 82889352 is about 9104.3589560166. The cubic root of 82889352 is about 436.0131438397.

The spelling of 82889352 in words is "eighty-two million, eight hundred eighty-nine thousand, three hundred fifty-two".