28038033 has 12 divisors (see below), whose sum is σ = 40546740. Its totient is φ = 18670176.

The previous prime is 28038029. The next prime is 28038067. The reversal of 28038033 is 33083082.

28038033 is a `hidden beast` number, since 280 + 380 + 3 + 3 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 15421329 + 12616704 = 3927^2 + 3552^2 .

It is not a de Polignac number, because 28038033 - 2² = 28038029 is a prime.

It is a super-3 number, since 3×28038033³ (a number of 23 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 28037988 and 28038006.

It is not an unprimeable number, because it can be changed into a prime (28038533) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11223 + ... + 13491.

It is an arithmetic number, because the mean of its divisors is an integer number (3378895).

Almost surely, 2^28038033 is an apocalyptic number.

It is an amenable number.

28038033 is a deficient number, since it is larger than the sum of its proper divisors (12508707).

28038033 is a wasteful number, since it uses less digits than its factorization.

28038033 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3648 (or 3645 counting only the distinct ones).

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

The square root of 28038033 is about 5295.0951832805. The cubic root of 28038033 is about 303.7963237788.

The spelling of 28038033 in words is "twenty-eight million, thirty-eight thousand, thirty-three".