33397328 has 40 divisors (see below), whose sum is σ = 67495680. Its totient is φ = 15989120.

The previous prime is 33397321. The next prime is 33397349. The reversal of 33397328 is 82379333.

It is a super-2 number, since 2×33397328² = 2230763035079168, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 33397291 and 33397300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33397321) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 77273 + ... + 77703.

It is an arithmetic number, because the mean of its divisors is an integer number (1687392).

Almost surely, 2^33397328 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 33397328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33747840).

33397328 is an abundant number, since it is smaller than the sum of its proper divisors (34098352).

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

33397328 is a wasteful number, since it uses less digits than its factorization.

33397328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 635 (or 629 counting only the distinct ones).

The product of its digits is 81648, while the sum is 38.

The square root of 33397328 is about 5779.0421351639. The cubic root of 33397328 is about 322.0356171139.

The spelling of 33397328 in words is "thirty-three million, three hundred ninety-seven thousand, three hundred twenty-eight".