33128000 has 112 divisors (see below), whose sum is σ = 84874608. Its totient is φ = 12800000.

The previous prime is 33127999. The next prime is 33128047. The reversal of 33128000 is 82133.

It can be written as a sum of positive squares in 8 ways, for example, as 10394176 + 22733824 = 3224^2 + 4768^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 33128000.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 327950 + ... + 328050.

It is an arithmetic number, because the mean of its divisors is an integer number (757809).

Almost surely, 2^33128000 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 33128000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42437304).

33128000 is an abundant number, since it is smaller than the sum of its proper divisors (51746608).

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

33128000 is a wasteful number, since it uses less digits than its factorization.

33128000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 169 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

The square root of 33128000 is about 5755.6928340557. The cubic root of 33128000 is about 321.1676094687.

The spelling of 33128000 in words is "thirty-three million, one hundred twenty-eight thousand".