33484128 has 48 divisors (see below), whose sum is σ = 89567856. Its totient is φ = 10949120.

The previous prime is 33484117. The next prime is 33484141. The reversal of 33484128 is 82148433.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×33484128² = 2242373655840768, which contains 22 as substring.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1798 + ... + 8378.

It is an arithmetic number, because the mean of its divisors is an integer number (1865997).

Almost surely, 2^33484128 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 33484128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44783928).

33484128 is an abundant number, since it is smaller than the sum of its proper divisors (56083728).

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

33484128 is a wasteful number, since it uses less digits than its factorization.

33484128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6647 (or 6639 counting only the distinct ones).

The product of its digits is 18432, while the sum is 33.

The square root of 33484128 is about 5786.5471569840. The cubic root of 33484128 is about 322.3143670589.

The spelling of 33484128 in words is "thirty-three million, four hundred eighty-four thousand, one hundred twenty-eight".