882528 has 48 divisors (see below), whose sum is σ = 2404080. Its totient is φ = 283136.

The previous prime is 882517. The next prime is 882529. The reversal of 882528 is 825288.

It is a tau number, because it is divible by the number of its divisors (48).

It is a nialpdrome in base 16.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 882528.

It is not an unprimeable number, because it can be changed into a prime (882529) by changing a digit.

882528 is an untouchable number, because it is not equal to the sum of proper divisors of any 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 7 ways as a sum of consecutive naturals, for example, 2626 + ... + 2942.

It is an arithmetic number, because the mean of its divisors is an integer number (50085).

2⁸⁸²⁵²⁸ 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 882528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1202040).

882528 is an abundant number, since it is smaller than the sum of its proper divisors (1521552).

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

882528 is a wasteful number, since it uses less digits than its factorization.

882528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 359 (or 351 counting only the distinct ones).

The product of its digits is 10240, while the sum is 33.

The square root of 882528 is about 939.4296141809. The cubic root of 882528 is about 95.9200723612.

The spelling of 882528 in words is "eight hundred eighty-two thousand, five hundred twenty-eight".