33288948 has 96 divisors (see below), whose sum is σ = 107627520. Its totient is φ = 8644320.

The previous prime is 33288911. The next prime is 33288961. The reversal of 33288948 is 84988233.

It is a super-2 number, since 2×33288948² = 2216308117893408, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6315 + ... + 10317.

It is an arithmetic number, because the mean of its divisors is an integer number (1121120).

Almost surely, 2^33288948 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 33288948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53813760).

33288948 is an abundant number, since it is smaller than the sum of its proper divisors (74338572).

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

33288948 is a wasteful number, since it uses less digits than its factorization.

33288948 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4034 (or 4026 counting only the distinct ones).

The product of its digits is 331776, while the sum is 45.

The square root of 33288948 is about 5769.6575288313. The cubic root of 33288948 is about 321.6868861921.

The spelling of 33288948 in words is "thirty-three million, two hundred eighty-eight thousand, nine hundred forty-eight".