10008288 has 144 divisors (see below), whose sum is σ = 31449600. Its totient is φ = 3006720.

The previous prime is 10008283. The next prime is 10008311. The reversal of 10008288 is 88280001.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10008281) 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 23 ways as a sum of consecutive naturals, for example, 169603 + ... + 169661.

It is an arithmetic number, because the mean of its divisors is an integer number (218400).

Almost surely, 2^10008288 is an apocalyptic number.

10008288 is a gapful number since it is divisible by the number (18) 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 10008288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15724800).

10008288 is an abundant number, since it is smaller than the sum of its proper divisors (21441312).

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

10008288 is a wasteful number, since it uses less digits than its factorization.

10008288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 27.

The square root of 10008288 is about 3163.5878366184. The cubic root of 10008288 is about 215.5029724164.

Adding to 10008288 its reverse (88280001), we get a palindrome (98288289).

It can be divided in two parts, 10008 and 288, that added together give a triangular number (10296 = T₁₄₃).

The spelling of 10008288 in words is "ten million, eight thousand, two hundred eighty-eight".