33009328 has 60 divisors (see below), whose sum is σ = 72229752. Its totient is φ = 14492160.

The previous prime is 33009323. The next prime is 33009329. The reversal of 33009328 is 82390033.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 33009296 and 33009305.

It is not an unprimeable number, because it can be changed into a prime (33009323) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 240876 + ... + 241012.

Almost surely, 2^33009328 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 33009328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36114876).

33009328 is an abundant number, since it is smaller than the sum of its proper divisors (39220424).

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

33009328 is a wasteful number, since it uses less digits than its factorization.

33009328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 230 (or 187 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 28.

The square root of 33009328 is about 5745.3744873594. The cubic root of 33009328 is about 320.7836522537.

The spelling of 33009328 in words is "thirty-three million, nine thousand, three hundred twenty-eight".