33628240 has 20 divisors (see below), whose sum is σ = 78185844. Its totient is φ = 13451264.

The previous prime is 33628237. The next prime is 33628247. The reversal of 33628240 is 4282633.

It can be written as a sum of positive squares in 2 ways, for example, as 4769856 + 28858384 = 2184^2 + 5372^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a super-2 number, since 2×33628240² = 2261717050995200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 33628199 and 33628208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33628247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 210097 + ... + 210256.

Almost surely, 2^33628240 is an apocalyptic number.

It is an amenable number.

33628240 is an abundant number, since it is smaller than the sum of its proper divisors (44557604).

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

33628240 is a wasteful number, since it uses less digits than its factorization.

33628240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 420366 (or 420360 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

The square root of 33628240 is about 5798.9861182796. The cubic root of 33628240 is about 322.7761071136.

The spelling of 33628240 in words is "thirty-three million, six hundred twenty-eight thousand, two hundred forty".