33328720 has 80 divisors (see below), whose sum is σ = 81423360. Its totient is φ = 12672000.

The previous prime is 33328703. The next prime is 33328723. The reversal of 33328720 is 2782333.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×33328720² = 2221607153676800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33328723) 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 15 ways as a sum of consecutive naturals, for example, 220645 + ... + 220795.

It is an arithmetic number, because the mean of its divisors is an integer number (1017792).

Almost surely, 2^33328720 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 33328720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40711680).

33328720 is an abundant number, since it is smaller than the sum of its proper divisors (48094640).

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

33328720 is a wasteful number, since it uses less digits than its factorization.

33328720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 284 (or 278 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 28.

The square root of 33328720 is about 5773.1031516854. The cubic root of 33328720 is about 321.8149471023.

The spelling of 33328720 in words is "thirty-three million, three hundred twenty-eight thousand, seven hundred twenty".