333828 has 48 divisors (see below), whose sum is σ = 947520. Its totient is φ = 100800.

The previous prime is 333821. The next prime is 333857. The reversal of 333828 is 828333.

It is a super-2 number, since 2×333828² = 222882267168, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (333821) by changing a digit.

333828 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1048 + ... + 1328.

It is an arithmetic number, because the mean of its divisors is an integer number (19740).

2³³³⁸²⁸ 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 333828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (473760).

333828 is an abundant number, since it is smaller than the sum of its proper divisors (613692).

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

333828 is a wasteful number, since it uses less digits than its factorization.

333828 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 305 (or 297 counting only the distinct ones).

The product of its digits is 3456, while the sum is 27.

The square root of 333828 is about 577.7785042730. The cubic root of 333828 is about 69.3704087539.

The spelling of 333828 in words is "three hundred thirty-three thousand, eight hundred twenty-eight".