33828000 has 96 divisors (see below), whose sum is σ = 110859840. Its totient is φ = 9017600.

The previous prime is 33827987. The next prime is 33828001. The reversal of 33828000 is 82833.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×33828000² = 2288667168000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33828001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10591 + ... + 13409.

It is an arithmetic number, because the mean of its divisors is an integer number (1154790).

Almost surely, 2^33828000 is an apocalyptic number.

33828000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 33828000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55429920).

33828000 is an abundant number, since it is smaller than the sum of its proper divisors (77031840).

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

33828000 is a wasteful number, since it uses less digits than its factorization.

33828000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2847 (or 2829 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 33828000 is about 5816.1843161991. The cubic root of 33828000 is about 323.4139688591.

The spelling of 33828000 in words is "thirty-three million, eight hundred twenty-eight thousand".