33382528 has 32 divisors (see below), whose sum is σ = 68137020. Its totient is φ = 16281600.

The previous prime is 33382513. The next prime is 33382537. The reversal of 33382528 is 82528333.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 27962944 + 5419584 = 5288^2 + 2328^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-2 number, since 2×33382528² = 2228786351341568, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 33382493 and 33382502.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2068 + ... + 8428.

Almost surely, 2^33382528 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 33382528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34068510).

33382528 is an abundant number, since it is smaller than the sum of its proper divisors (34754492).

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

33382528 is an equidigital number, since it uses as much as digits as its factorization.

33382528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6416 (or 6404 counting only the distinct ones).

The product of its digits is 34560, while the sum is 34.

The square root of 33382528 is about 5777.7615042506. The cubic root of 33382528 is about 321.9880401406.

The spelling of 33382528 in words is "thirty-three million, three hundred eighty-two thousand, five hundred twenty-eight".