33608386128 has 80 divisors (see below), whose sum is σ = 89868025856. Its totient is φ = 10811698560.

The previous prime is 33608386127. The next prime is 33608386171. The reversal of 33608386128 is 82168380633.

It is a super-2 number, since 2×33608386128² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33608386127) 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, 515325 + ... + 576867.

Almost surely, 2^33608386128 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 33608386128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44934012928).

33608386128 is an abundant number, since it is smaller than the sum of its proper divisors (56259639728).

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

33608386128 is a wasteful number, since it uses less digits than its factorization.

33608386128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61952 (or 61946 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 48.

The spelling of 33608386128 in words is "thirty-three billion, six hundred eight million, three hundred eighty-six thousand, one hundred twenty-eight".