33328848 has 80 divisors (see below), whose sum is σ = 99029376. Its totient is φ = 9461760.

The previous prime is 33328847. The next prime is 33328853. The reversal of 33328848 is 84882333.

It is a happy number.

It is a super-2 number, since 2×33328848² = 2221624218014208, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33328847) 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, 94240 + ... + 94592.

Almost surely, 2^33328848 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 33328848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49514688).

33328848 is an abundant number, since it is smaller than the sum of its proper divisors (65700528).

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

33328848 is a wasteful number, since it uses less digits than its factorization.

33328848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 652 (or 646 counting only the distinct ones).

The product of its digits is 110592, while the sum is 39.

The square root of 33328848 is about 5773.1142375671. The cubic root of 33328848 is about 321.8153590820.

It can be divided in two parts, 333288 and 48, that added together give a triangular number (333336 = T₈₁₆).

The spelling of 33328848 in words is "thirty-three million, three hundred twenty-eight thousand, eight hundred forty-eight".