33362728 has 24 divisors (see below), whose sum is σ = 72769050. Its totient is φ = 14298144.

The previous prime is 33362699. The next prime is 33362729. The reversal of 33362728 is 82726333.

It can be written as a sum of positive squares in only one way, i.e., 29354724 + 4008004 = 5418^2 + 2002^2 .

It is a super-2 number, since 2×33362728² = 2226143239203968, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 33362693 and 33362702.

It is not an unprimeable number, because it can be changed into a prime (33362729) 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, 42163 + ... + 42946.

Almost surely, 2^33362728 is an apocalyptic number.

It is an amenable number.

33362728 is an abundant number, since it is smaller than the sum of its proper divisors (39406322).

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

33362728 is a wasteful number, since it uses less digits than its factorization.

33362728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85129 (or 85118 counting only the distinct ones).

The product of its digits is 36288, while the sum is 34.

The square root of 33362728 is about 5776.0477837359. The cubic root of 33362728 is about 321.9243678700.

The spelling of 33362728 in words is "thirty-three million, three hundred sixty-two thousand, seven hundred twenty-eight".