33074928 has 120 divisors (see below), whose sum is σ = 100105200. Its totient is φ = 10156032.

The previous prime is 33074927. The next prime is 33074933. The reversal of 33074928 is 82947033.

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 = 33074892 and 33074901.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33074927) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 144318 + ... + 144546.

It is an arithmetic number, because the mean of its divisors is an integer number (834210).

Almost surely, 2^33074928 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 33074928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50052600).

33074928 is an abundant number, since it is smaller than the sum of its proper divisors (67030272).

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

33074928 is a wasteful number, since it uses less digits than its factorization.

33074928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 319 (or 310 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 33074928 is about 5751.0805941145. The cubic root of 33074928 is about 320.9960112469.

The spelling of 33074928 in words is "thirty-three million, seventy-four thousand, nine hundred twenty-eight".