33481728 has 176 divisors, whose sum is σ = 113976960. Its totient is φ = 9510912.

The previous prime is 33481627. The next prime is 33481729. The reversal of 33481728 is 82718433.

It is a super-2 number, since 2×33481728² = 2242052219731968, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 33481692 and 33481701.

It is not an unprimeable number, because it can be changed into a prime (33481729) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 193450 + ... + 193622.

Almost surely, 2^33481728 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 33481728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56988480).

33481728 is an abundant number, since it is smaller than the sum of its proper divisors (80495232).

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

33481728 is a wasteful number, since it uses less digits than its factorization.

33481728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 209 (or 185 counting only the distinct ones).

The product of its digits is 32256, while the sum is 36.

The square root of 33481728 is about 5786.3397757131. The cubic root of 33481728 is about 322.3066661668.

The spelling of 33481728 in words is "thirty-three million, four hundred eighty-one thousand, seven hundred twenty-eight".