8228280 has 64 divisors (see below), whose sum is σ = 24883200. Its totient is φ = 2176640.

The previous prime is 8228267. The next prime is 8228293. The reversal of 8228280 is 828228.

It is an interprime number because it is at equal distance from previous prime (8228267) and next prime (8228293).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22741 + ... + 23099.

It is an arithmetic number, because the mean of its divisors is an integer number (388800).

Almost surely, 2^8228280 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 8228280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12441600).

8228280 is an abundant number, since it is smaller than the sum of its proper divisors (16654920).

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

8228280 is a wasteful number, since it uses less digits than its factorization.

8228280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 564 (or 560 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 30.

The square root of 8228280 is about 2868.4978647369. The cubic root of 8228280 is about 201.8845204736.

The spelling of 8228280 in words is "eight million, two hundred twenty-eight thousand, two hundred eighty".