33628848 has 40 divisors (see below), whose sum is σ = 94773696. Its totient is φ = 10190400.

The previous prime is 33628843. The next prime is 33628867. The reversal of 33628848 is 84882633.

It is a super-2 number, since 2×33628848² = 2261798835614208, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (33628843) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 31318 + ... + 32373.

Almost surely, 2^33628848 is an apocalyptic number.

It is an amenable number.

33628848 is an abundant number, since it is smaller than the sum of its proper divisors (61144848).

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

33628848 is a wasteful number, since it uses less digits than its factorization.

33628848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63713 (or 63707 counting only the distinct ones).

The product of its digits is 221184, while the sum is 42.

The square root of 33628848 is about 5799.0385409997. The cubic root of 33628848 is about 322.7780523704.

It can be divided in two parts, 33 and 628848, that added together give a triangular number (628881 = T₁₁₂₁).

The spelling of 33628848 in words is "thirty-three million, six hundred twenty-eight thousand, eight hundred forty-eight".