33928029 has 6 divisors (see below), whose sum is σ = 49007166. Its totient is φ = 22618680.

The previous prime is 33928019. The next prime is 33928061. The reversal of 33928029 is 92082933.

33928029 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 27562500 + 6365529 = 5250^2 + 2523^2 .

It is not a de Polignac number, because 33928029 - 2⁵ = 33927997 is a prime.

It is a super-2 number, since 2×33928029² = 2302222303649682, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 33927984 and 33928002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33928019) 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 5 ways as a sum of consecutive naturals, for example, 1884882 + ... + 1884899.

It is an arithmetic number, because the mean of its divisors is an integer number (8167861).

Almost surely, 2^33928029 is an apocalyptic number.

It is an amenable number.

33928029 is a deficient number, since it is larger than the sum of its proper divisors (15079137).

33928029 is a wasteful number, since it uses less digits than its factorization.

33928029 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3769787 (or 3769784 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 33928029 is about 5824.7771631196. Note that the first 3 decimals coincide. The cubic root of 33928029 is about 323.7324322742.

The spelling of 33928029 in words is "thirty-three million, nine hundred twenty-eight thousand, twenty-nine".