8286828 has 48 divisors (see below), whose sum is σ = 21431424. Its totient is φ = 2471040.

The previous prime is 8286821. The next prime is 8286857.

8286828 is nontrivially palindromic in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 8286828.

It is not an unprimeable number, because it can be changed into a prime (8286821) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8376 + ... + 9312.

It is an arithmetic number, because the mean of its divisors is an integer number (446488).

Almost surely, 2^8286828 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 8286828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10715712).

8286828 is an abundant number, since it is smaller than the sum of its proper divisors (13144596).

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

8286828 is a wasteful number, since it uses less digits than its factorization.

8286828 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1022 (or 1020 counting only the distinct ones).

The product of its digits is 98304, while the sum is 42.

The square root of 8286828 is about 2878.6851165072. The cubic root of 8286828 is about 202.3622230005.

The spelling of 8286828 in words is "eight million, two hundred eighty-six thousand, eight hundred twenty-eight".