33733728 has 144 divisors (see below), whose sum is σ = 113611680. Its totient is φ = 9289728.

The previous prime is 33733681. The next prime is 33733741. The reversal of 33733728 is 82733733.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×33733728² = 2275928809555968, which contains 22 as substring.

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

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 33733692 and 33733701.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 58176 + ... + 58752.

It is an arithmetic number, because the mean of its divisors is an integer number (788970).

Almost surely, 2^33733728 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 33733728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56805840).

33733728 is an abundant number, since it is smaller than the sum of its proper divisors (79877952).

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

33733728 is a wasteful number, since it uses less digits than its factorization.

33733728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 629 (or 618 counting only the distinct ones).

The product of its digits is 63504, while the sum is 36.

The square root of 33733728 is about 5808.0743796890. The cubic root of 33733728 is about 323.1132589169.

The spelling of 33733728 in words is "thirty-three million, seven hundred thirty-three thousand, seven hundred twenty-eight".