33867728 has 40 divisors (see below), whose sum is σ = 70962720. Its totient is φ = 15603840.

The previous prime is 33867727. The next prime is 33867731. The reversal of 33867728 is 82776833.

It is a super-2 number, since 2×33867728² = 2294045999763968, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33867727) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9743 + ... + 12753.

It is an arithmetic number, because the mean of its divisors is an integer number (1774068).

Almost surely, 2^33867728 is an apocalyptic number.

33867728 is a gapful number since it is divisible by the number (38) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 33867728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35481360).

33867728 is an abundant number, since it is smaller than the sum of its proper divisors (37094992).

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

33867728 is a wasteful number, since it uses less digits than its factorization.

33867728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3075 (or 3069 counting only the distinct ones).

The product of its digits is 338688, while the sum is 44.

The square root of 33867728 is about 5819.5986115883. The cubic root of 33867728 is about 323.5405263814.

The spelling of 33867728 in words is "thirty-three million, eight hundred sixty-seven thousand, seven hundred twenty-eight".