9045288 has 96 divisors (see below), whose sum is σ = 28416960. Its totient is φ = 2545920.

The previous prime is 9045277. The next prime is 9045299. The reversal of 9045288 is 8825409.

It is an interprime number because it is at equal distance from previous prime (9045277) and next prime (9045299).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 65956 + ... + 66092.

It is an arithmetic number, because the mean of its divisors is an integer number (296010).

Almost surely, 2^9045288 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 9045288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14208480).

9045288 is an abundant number, since it is smaller than the sum of its proper divisors (19371672).

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

9045288 is a wasteful number, since it uses less digits than its factorization.

9045288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 287 (or 280 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 9045288 is about 3007.5385284315. The cubic root of 9045288 is about 208.3566981084.

The spelling of 9045288 in words is "nine million, forty-five thousand, two hundred eighty-eight".