33791728 has 40 divisors (see below), whose sum is σ = 71312400. Its totient is φ = 15450624.

The previous prime is 33791717. The next prime is 33791741. The reversal of 33791728 is 82719733.

It is a super-2 number, since 2×33791728² = 2283761762451968, which contains 22 as substring.

It is a hoax number, since the sum of its digits (40) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

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, 6900 + ... + 10732.

It is an arithmetic number, because the mean of its divisors is an integer number (1782810).

Almost surely, 2^33791728 is an apocalyptic number.

33791728 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 33791728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35656200).

33791728 is an abundant number, since it is smaller than the sum of its proper divisors (37520672).

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

33791728 is a wasteful number, since it uses less digits than its factorization.

33791728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3889 (or 3883 counting only the distinct ones).

The product of its digits is 63504, while the sum is 40.

The square root of 33791728 is about 5813.0652843401. The cubic root of 33791728 is about 323.2983342096.

The spelling of 33791728 in words is "thirty-three million, seven hundred ninety-one thousand, seven hundred twenty-eight".