33308928 has 144 divisors (see below), whose sum is σ = 101382400. Its totient is φ = 10782720.

The previous prime is 33308923. The next prime is 33308929. The reversal of 33308928 is 82980333.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×33308928² = 2218969369018368, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 33308892 and 33308901.

It is not an unprimeable number, because it can be changed into a prime (33308921) 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, 421593 + ... + 421671.

Almost surely, 2^33308928 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 33308928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50691200).

33308928 is an abundant number, since it is smaller than the sum of its proper divisors (68073472).

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

33308928 is an equidigital number, since it uses as much as digits as its factorization.

33308928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165 (or 145 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 33308928 is about 5771.3887410224. The cubic root of 33308928 is about 321.7512320577.

The spelling of 33308928 in words is "thirty-three million, three hundred eight thousand, nine hundred twenty-eight".