8406828 has 72 divisors (see below), whose sum is σ = 22799280. Its totient is φ = 2711880.

The previous prime is 8406817. The next prime is 8406829. The reversal of 8406828 is 8286048.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

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 = 8406792 and 8406801.

It is not an unprimeable number, because it can be changed into a prime (8406829) 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, 271173 + ... + 271203.

Almost surely, 2^8406828 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 8406828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11399640).

8406828 is an abundant number, since it is smaller than the sum of its proper divisors (14392452).

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

8406828 is an equidigital number, since it uses as much as digits as its factorization.

8406828 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87 (or 36 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The square root of 8406828 is about 2899.4530518703. The cubic root of 8406828 is about 203.3343354485.

The spelling of 8406828 in words is "eight million, four hundred six thousand, eight hundred twenty-eight".