1009288 has 32 divisors (see below), whose sum is σ = 2203200. Its totient is φ = 424512.

The previous prime is 1009259. The next prime is 1009289. The reversal of 1009288 is 8829001.

1009288 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (1009289) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3618 + ... + 3886.

It is an arithmetic number, because the mean of its divisors is an integer number (68850).

2^1009288 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 1009288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1101600).

1009288 is an abundant number, since it is smaller than the sum of its proper divisors (1193912).

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

1009288 is a wasteful number, since it uses less digits than its factorization.

1009288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 349 (or 345 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 28.

The square root of 1009288 is about 1004.6332664211. The cubic root of 1009288 is about 100.3086463940.

1009288 divided by its sum of digits (28) gives a triangular number (36046 = T₂₆₈).

The spelling of 1009288 in words is "one million, nine thousand, two hundred eighty-eight".