33971728 has 80 divisors (see below), whose sum is σ = 78744960. Its totient is φ = 13897728.

The previous prime is 33971723. The next prime is 33971761. The reversal of 33971728 is 82717933.

It is not an unprimeable number, because it can be changed into a prime (33971723) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 350176 + ... + 350272.

It is an arithmetic number, because the mean of its divisors is an integer number (984312).

Almost surely, 2^33971728 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 33971728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39372480).

33971728 is an abundant number, since it is smaller than the sum of its proper divisors (44773232).

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

33971728 is a wasteful number, since it uses less digits than its factorization.

33971728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224 (or 218 counting only the distinct ones).

The product of its digits is 63504, while the sum is 40.

The square root of 33971728 is about 5828.5270866661. The cubic root of 33971728 is about 323.8713608108.

The spelling of 33971728 in words is "thirty-three million, nine hundred seventy-one thousand, seven hundred twenty-eight".