33438328 has 64 divisors (see below), whose sum is σ = 82310400. Its totient is φ = 12337920.

The previous prime is 33438313. The next prime is 33438359. The reversal of 33438328 is 82383433.

It is a super-2 number, since 2×33438328² = 2236243558871168, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 33438293 and 33438302.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10276 + ... + 13132.

It is an arithmetic number, because the mean of its divisors is an integer number (1286100).

Almost surely, 2^33438328 is an apocalyptic number.

33438328 is a gapful number since it is divisible by the number (38) 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 33438328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41155200).

33438328 is an abundant number, since it is smaller than the sum of its proper divisors (48872072).

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

33438328 is a wasteful number, since it uses less digits than its factorization.

33438328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2900 (or 2896 counting only the distinct ones).

The product of its digits is 41472, while the sum is 34.

The square root of 33438328 is about 5782.5883477903. The cubic root of 33438328 is about 322.1673448271.

The spelling of 33438328 in words is "thirty-three million, four hundred thirty-eight thousand, three hundred twenty-eight".