33028200 has 144 divisors (see below), whose sum is σ = 113162400. Its totient is φ = 8630400.

The previous prime is 33028183. The next prime is 33028211. The reversal of 33028200 is 282033.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 106045 + ... + 106355.

It is an arithmetic number, because the mean of its divisors is an integer number (785850).

Almost surely, 2^33028200 is an apocalyptic number.

33028200 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 33028200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56581200).

33028200 is an abundant number, since it is smaller than the sum of its proper divisors (80134200).

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

33028200 is a wasteful number, since it uses less digits than its factorization.

33028200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 392 (or 380 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 33028200 is about 5747.0166173416. The cubic root of 33028200 is about 320.8447731158.

It can be divided in two parts, 3 and 3028200, that added together give a palindrome (3028203).

The spelling of 33028200 in words is "thirty-three million, twenty-eight thousand, two hundred".