8280828 has 72 divisors (see below), whose sum is σ = 22303008. Its totient is φ = 2585088.

The previous prime is 8280821. The next prime is 8280841.

8280828 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×8280828² = 137144224731168, which contains 22 as substring.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is a junction number, because it is equal to n+sod(n) for n = 8280792 and 8280801.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8280821) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 60376 + ... + 60512.

It is an arithmetic number, because the mean of its divisors is an integer number (309764).

Almost surely, 2^8280828 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 8280828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11151504).

8280828 is an abundant number, since it is smaller than the sum of its proper divisors (14022180).

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

8280828 is a wasteful number, since it uses less digits than its factorization.

8280828 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 243 (or 238 counting only the distinct ones).

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

The square root of 8280828 is about 2877.6427853366. The cubic root of 8280828 is about 202.3133717194.

The spelling of 8280828 in words is "eight million, two hundred eighty thousand, eight hundred twenty-eight".