33322128 has 40 divisors (see below), whose sum is σ = 98380608. Its totient is φ = 9520512.

The previous prime is 33322127. The next prime is 33322153. The reversal of 33322128 is 82122333.

It is a super-2 number, since 2×33322128² = 2220728428896768, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

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

It is a junction number, because it is equal to n+sod(n) for n = 33322098 and 33322107.

It is not an unprimeable number, because it can be changed into a prime (33322127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 49251 + ... + 49922.

Almost surely, 2^33322128 is an apocalyptic number.

It is an amenable number.

33322128 is an abundant number, since it is smaller than the sum of its proper divisors (65058480).

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

33322128 is a wasteful number, since it uses less digits than its factorization.

33322128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99191 (or 99185 counting only the distinct ones).

The product of its digits is 1728, while the sum is 24.

The square root of 33322128 is about 5772.5321999968. The cubic root of 33322128 is about 321.7937287256.

It can be divided in two parts, 3332 and 2128, that added together give a triangular number (5460 = T₁₀₄).

The spelling of 33322128 in words is "thirty-three million, three hundred twenty-two thousand, one hundred twenty-eight".