4536288 has 72 divisors (see below), whose sum is σ = 13595400. Its totient is φ = 1430784.

The previous prime is 4536283. The next prime is 4536317. The reversal of 4536288 is 8826354.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a d-powerful number, because it can be written as 4¹⁰ + 5⁹ + 3¹¹ + 6⁶ + 2²⁰ + 8² + 8⁶ .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4536283) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 5058 + ... + 5886.

It is an arithmetic number, because the mean of its divisors is an integer number (188825).

Almost surely, 2^4536288 is an apocalyptic number.

4536288 is a gapful number since it is divisible by the number (48) 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 4536288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6797700).

4536288 is an abundant number, since it is smaller than the sum of its proper divisors (9059112).

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

4536288 is a wasteful number, since it uses less digits than its factorization.

4536288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 864 (or 853 counting only the distinct ones).

The product of its digits is 46080, while the sum is 36.

The square root of 4536288 is about 2129.8563331831. The cubic root of 4536288 is about 165.5389539045.

The spelling of 4536288 in words is "four million, five hundred thirty-six thousand, two hundred eighty-eight".