33288 has 32 divisors (see below), whose sum is σ = 88800. Its totient is φ = 10368.

The previous prime is 33287. The next prime is 33289. The reversal of 33288 is 88233.

33288 is an esthetic number in base 8, because in such base its adjacent digits differ by 1.

It is an interprime number because it is at equal distance from previous prime (33287) and next prime (33289).

It is a super-2 number, since 2×33288² = 2216181888, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

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

It is a d-powerful number, because it can be written as 3 + 3 + 2 + 8³ + 8⁵ .

33288 is an undulating number in base 8.

It is not an unprimeable number, because it can be changed into a prime (33287) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (3) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 420 + ... + 492.

It is an arithmetic number, because the mean of its divisors is an integer number (2775).

2³³²⁸⁸ is an apocalyptic number.

33288 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 33288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44400).

33288 is an abundant number, since it is smaller than the sum of its proper divisors (55512).

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

33288 is a wasteful number, since it uses less digits than its factorization.

33288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101 (or 97 counting only the distinct ones).

The product of its digits is 1152, while the sum is 24.

The square root of 33288 is about 182.4499931488. The cubic root of 33288 is about 32.1683832505.

Subtracting 33288 from its reverse (88233), we obtain a palindrome (54945).

The spelling of 33288 in words is "thirty-three thousand, two hundred eighty-eight".