33028810128 has 400 divisors, whose sum is σ = 107389269504. Its totient is φ = 9749237760.

The previous prime is 33028810103. The next prime is 33028810169. The reversal of 33028810128 is 82101882033.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 33028810092 and 33028810101.

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 79 ways as a sum of consecutive naturals, for example, 25270051 + ... + 25271357.

Almost surely, 2^33028810128 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 33028810128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53694634752).

33028810128 is an abundant number, since it is smaller than the sum of its proper divisors (74360459376).

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

33028810128 is a wasteful number, since it uses less digits than its factorization.

33028810128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1412 (or 1397 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The spelling of 33028810128 in words is "thirty-three billion, twenty-eight million, eight hundred ten thousand, one hundred twenty-eight".