33128448 has 64 divisors (see below), whose sum is σ = 88603320. Its totient is φ = 11010048.

The previous prime is 33128423. The next prime is 33128449. The reversal of 33128448 is 84482133.

It is a tau number, because it is divible by the number of its divisors (64).

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

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33128449) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 98136 + ... + 98472.

Almost surely, 2^33128448 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 33128448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44301660).

33128448 is an abundant number, since it is smaller than the sum of its proper divisors (55474872).

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

33128448 is an frugal number, since it uses more digits than its factorization.

33128448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 370 (or 342 counting only the distinct ones).

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

The square root of 33128448 is about 5755.7317519148. The cubic root of 33128448 is about 321.1690572112.

The spelling of 33128448 in words is "thirty-three million, one hundred twenty-eight thousand, four hundred forty-eight".