33648335028 has 72 divisors (see below), whose sum is σ = 106043246400. Its totient is φ = 8739826560.

The previous prime is 33648335027. The next prime is 33648335033. The reversal of 33648335028 is 82053384633.

33648335028 is a `hidden beast` number, since 3 + 3 + 64 + 83 + 3 + 502 + 8 = 666.

It is a super-2 number, since 2×33648335028² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33648335027) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6066553 + ... + 6072096.

Almost surely, 2^33648335028 is an apocalyptic number.

It is an amenable number.

33648335028 is an abundant number, since it is smaller than the sum of its proper divisors (72394911372).

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

33648335028 is a wasteful number, since it uses less digits than its factorization.

33648335028 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12138677 (or 12138672 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 45.

The spelling of 33648335028 in words is "thirty-three billion, six hundred forty-eight million, three hundred thirty-five thousand, twenty-eight".