33028008 has 96 divisors (see below), whose sum is σ = 94867200. Its totient is φ = 9544704.

The previous prime is 33028007. The next prime is 33028019. The reversal of 33028008 is 80082033.

It is a Cunningham number, because it is equal to 5747²-1.

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

It is not an unprimeable number, because it can be changed into a prime (33028003) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 68713 + ... + 69191.

It is an arithmetic number, because the mean of its divisors is an integer number (988200).

Almost surely, 2^33028008 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 33028008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47433600).

33028008 is an abundant number, since it is smaller than the sum of its proper divisors (61839192).

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

33028008 is a wasteful number, since it uses less digits than its factorization.

33028008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 531 (or 514 counting only the distinct ones).

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

The square root of 33028008 is about 5746.9999129981. Note that the first 4 decimals coincide. The cubic root of 33028008 is about 320.8441514015.

The spelling of 33028008 in words is "thirty-three million, twenty-eight thousand, eight".