33913728 has 80 divisors (see below), whose sum is σ = 100957560. Its totient is φ = 11301120.

The previous prime is 33913681. The next prime is 33913751. The reversal of 33913728 is 82731933.

It is a happy number.

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 = 33913692 and 33913701.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 8733 + ... + 12003.

Almost surely, 2^33913728 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 33913728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50478780).

33913728 is an abundant number, since it is smaller than the sum of its proper divisors (67043832).

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

33913728 is an equidigital number, since it uses as much as digits as its factorization.

33913728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3297 (or 3276 counting only the distinct ones).

The product of its digits is 27216, while the sum is 36.

The square root of 33913728 is about 5823.5494331207. The cubic root of 33913728 is about 323.6869404072.

The spelling of 33913728 in words is "thirty-three million, nine hundred thirteen thousand, seven hundred twenty-eight".