33914328 has 128 divisors (see below), whose sum is σ = 103403520. Its totient is φ = 9060480.

The previous prime is 33914323. The next prime is 33914333. The reversal of 33914328 is 82341933.

It is a happy number.

33914328 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (33914323) and next prime (33914333).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33914323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 258823 + ... + 258953.

It is an arithmetic number, because the mean of its divisors is an integer number (807840).

Almost surely, 2^33914328 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 33914328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51701760).

33914328 is an abundant number, since it is smaller than the sum of its proper divisors (69489192).

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

33914328 is a wasteful number, since it uses less digits than its factorization.

33914328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 237 (or 233 counting only the distinct ones).

The product of its digits is 15552, while the sum is 33.

The square root of 33914328 is about 5823.6009478672. The cubic root of 33914328 is about 323.6888492804.

The spelling of 33914328 in words is "thirty-three million, nine hundred fourteen thousand, three hundred twenty-eight".