33865728 has 120 divisors (see below), whose sum is σ = 99087408. Its totient is φ = 10223616.

The previous prime is 33865703. The next prime is 33865739. The reversal of 33865728 is 82756833.

It is a super-2 number, since 2×33865728² = 2293775065939968, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 33865728.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 638950 + ... + 639002.

Almost surely, 2^33865728 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 33865728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49543704).

33865728 is an abundant number, since it is smaller than the sum of its proper divisors (65221680).

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

33865728 is an equidigital number, since it uses as much as digits as its factorization.

33865728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97 (or 71 counting only the distinct ones).

The product of its digits is 241920, while the sum is 42.

The square root of 33865728 is about 5819.4267758947. The cubic root of 33865728 is about 323.5341575476.

It can be divided in two parts, 338 and 65728, that added together give a palindrome (66066).

The spelling of 33865728 in words is "thirty-three million, eight hundred sixty-five thousand, seven hundred twenty-eight".