33628388928 has 112 divisors (see below), whose sum is σ = 91865647104. Its totient is φ = 10849628160.

The previous prime is 33628388903. The next prime is 33628388947. The reversal of 33628388928 is 82988382633.

It is a super-2 number, since 2×33628388928² (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 982926 + ... + 1016562.

It is an arithmetic number, because the mean of its divisors is an integer number (820228992).

Almost surely, 2^33628388928 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 33628388928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45932823552).

33628388928 is an abundant number, since it is smaller than the sum of its proper divisors (58237258176).

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

33628388928 is a wasteful number, since it uses less digits than its factorization.

33628388928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33820 (or 33810 counting only the distinct ones).

The product of its digits is 23887872, while the sum is 60.

The spelling of 33628388928 in words is "thirty-three billion, six hundred twenty-eight million, three hundred eighty-eight thousand, nine hundred twenty-eight".