33028800 has 168 divisors, whose sum is σ = 123968256. Its totient is φ = 7541760.

The previous prime is 33028781. The next prime is 33028811. The reversal of 33028800 is 882033.

It is a tau number, because it is divible by the number of its divisors (168).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 33109 + ... + 34091.

Almost surely, 2^33028800 is an apocalyptic number.

33028800 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 33028800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61984128).

33028800 is an abundant number, since it is smaller than the sum of its proper divisors (90939456).

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

33028800 is a wasteful number, since it uses less digits than its factorization.

33028800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1015 (or 1000 counting only the distinct ones).

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

The square root of 33028800 is about 5747.0688181020. The cubic root of 33028800 is about 320.8467159576.

The spelling of 33028800 in words is "thirty-three million, twenty-eight thousand, eight hundred".