882828 has 36 divisors (see below), whose sum is σ = 2260440. Its totient is φ = 290496.

The previous prime is 882823. The next prime is 882851. The reversal of 882828 is 828288.

882828 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nialpdrome in base 11.

It is a zygodrome in base 11.

It is a junction number, because it is equal to n+sod(n) for n = 882792 and 882801.

It is not an unprimeable number, because it can be changed into a prime (882823) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4843 + ... + 5021.

It is an arithmetic number, because the mean of its divisors is an integer number (62790).

2⁸⁸²⁸²⁸ is an apocalyptic number.

It is an amenable number.

882828 is an abundant number, since it is smaller than the sum of its proper divisors (1377612).

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

882828 is a wasteful number, since it uses less digits than its factorization.

882828 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 326 (or 321 counting only the distinct ones).

The product of its digits is 16384, while the sum is 36.

The square root of 882828 is about 939.5892719694. The cubic root of 882828 is about 95.9309399151.

It can be divided in two parts, 88 and 2828, that added together give a square (2916 = 54²).

The spelling of 882828 in words is "eight hundred eighty-two thousand, eight hundred twenty-eight".