33137728 has 28 divisors (see below), whose sum is σ = 70817740. Its totient is φ = 15293952.

The previous prime is 33137723. The next prime is 33137789. The reversal of 33137728 is 82773133.

It can be written as a sum of positive squares in 2 ways, for example, as 18939904 + 14197824 = 4352^2 + 3768^2 .

It is a junction number, because it is equal to n+sod(n) for n = 33137693 and 33137702.

It is not an unprimeable number, because it can be changed into a prime (33137723) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 19083 + ... + 20746.

It is an arithmetic number, because the mean of its divisors is an integer number (2529205).

Almost surely, 2^33137728 is an apocalyptic number.

It is an amenable number.

33137728 is an abundant number, since it is smaller than the sum of its proper divisors (37680012).

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

33137728 is a wasteful number, since it uses less digits than its factorization.

33137728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39854 (or 39844 counting only the distinct ones).

The product of its digits is 21168, while the sum is 34.

The square root of 33137728 is about 5756.5378483946. The cubic root of 33137728 is about 321.1990432280.

The spelling of 33137728 in words is "thirty-three million, one hundred thirty-seven thousand, seven hundred twenty-eight".