33128064 has 96 divisors (see below), whose sum is σ = 96466500. Its totient is φ = 10911744.

The previous prime is 33128059. The next prime is 33128089. The reversal of 33128064 is 46082133.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 29160000 + 3968064 = 5400^2 + 1992^2 .

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 171552 + ... + 171744.

Almost surely, 2^33128064 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 33128064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48233250).

33128064 is an abundant number, since it is smaller than the sum of its proper divisors (63338436).

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

33128064 is a wasteful number, since it uses less digits than its factorization.

33128064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 362 (or 347 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 33128064 is about 5755.6983937660. The cubic root of 33128064 is about 321.1678162899.

The spelling of 33128064 in words is "thirty-three million, one hundred twenty-eight thousand, sixty-four".