8355828 has 48 divisors (see below), whose sum is σ = 21732480. Its totient is φ = 2481024.

The previous prime is 8355827. The next prime is 8355883. The reversal of 8355828 is 8285538.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8355827) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3601 + ... + 5447.

It is an arithmetic number, because the mean of its divisors is an integer number (452760).

Almost surely, 2^8355828 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 8355828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10866240).

8355828 is an abundant number, since it is smaller than the sum of its proper divisors (13376652).

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

8355828 is a wasteful number, since it uses less digits than its factorization.

8355828 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1896 (or 1894 counting only the distinct ones).

The product of its digits is 76800, while the sum is 39.

The square root of 8355828 is about 2890.6449107422. The cubic root of 8355828 is about 202.9223254319.

The spelling of 8355828 in words is "eight million, three hundred fifty-five thousand, eight hundred twenty-eight".