33293728 has 48 divisors (see below), whose sum is σ = 71166816. Its totient is φ = 15240960.

The previous prime is 33293717. The next prime is 33293731. The reversal of 33293728 is 82739233.

It is a super-2 number, since 2×33293728² = 2216944648275968, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 67563 + ... + 68053.

It is an arithmetic number, because the mean of its divisors is an integer number (1482642).

Almost surely, 2^33293728 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 33293728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35583408).

33293728 is an abundant number, since it is smaller than the sum of its proper divisors (37873088).

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

33293728 is a wasteful number, since it uses less digits than its factorization.

33293728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 677 (or 669 counting only the distinct ones).

The product of its digits is 54432, while the sum is 37.

The square root of 33293728 is about 5770.0717499872. The cubic root of 33293728 is about 321.7022825905.

It can be divided in two parts, 33 and 293728, that added together give a triangular number (293761 = T₇₆₆).

The spelling of 33293728 in words is "thirty-three million, two hundred ninety-three thousand, seven hundred twenty-eight".