33348128 has 48 divisors (see below), whose sum is σ = 72122400. Its totient is φ = 15052800.

The previous prime is 33348109. The next prime is 33348131. The reversal of 33348128 is 82184333.

It is a happy number.

It is a super-2 number, since 2×33348128² = 2224195282208768, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 33348094 and 33348103.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 74048 + ... + 74496.

It is an arithmetic number, because the mean of its divisors is an integer number (1502550).

Almost surely, 2^33348128 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 33348128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36061200).

33348128 is an abundant number, since it is smaller than the sum of its proper divisors (38774272).

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

33348128 is a wasteful number, since it uses less digits than its factorization.

33348128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 681 (or 673 counting only the distinct ones).

The product of its digits is 13824, while the sum is 32.

The square root of 33348128 is about 5774.7838054771. The cubic root of 33348128 is about 321.8774014714.

The spelling of 33348128 in words is "thirty-three million, three hundred forty-eight thousand, one hundred twenty-eight".