8219628 has 72 divisors (see below), whose sum is σ = 22342320. Its totient is φ = 2540160.

The previous prime is 8219623. The next prime is 8219641. The reversal of 8219628 is 8269128.

8219628 is a `hidden beast` number, since 8 + 21 + 9 + 628 = 666.

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 = 8219592 and 8219601.

It is not an unprimeable number, because it can be changed into a prime (8219623) 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, 41626 + ... + 41822.

It is an arithmetic number, because the mean of its divisors is an integer number (310310).

Almost surely, 2^8219628 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 8219628, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11171160).

8219628 is an abundant number, since it is smaller than the sum of its proper divisors (14122692).

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

8219628 is a wasteful number, since it uses less digits than its factorization.

8219628 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 287 (or 282 counting only the distinct ones).

The product of its digits is 13824, while the sum is 36.

The square root of 8219628 is about 2866.9893616824. The cubic root of 8219628 is about 201.8137354312.

The spelling of 8219628 in words is "eight million, two hundred nineteen thousand, six hundred twenty-eight".