10287288 has 96 divisors (see below), whose sum is σ = 31449600. Its totient is φ = 3009600.

The previous prime is 10287283. The next prime is 10287293. The reversal of 10287288 is 88278201.

It is an interprime number because it is at equal distance from previous prime (10287283) and next prime (10287293).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10287281) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24343 + ... + 24761.

It is an arithmetic number, because the mean of its divisors is an integer number (327600).

Almost surely, 2^10287288 is an apocalyptic number.

10287288 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 10287288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15724800).

10287288 is an abundant number, since it is smaller than the sum of its proper divisors (21162312).

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

10287288 is a wasteful number, since it uses less digits than its factorization.

10287288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 473 (or 466 counting only the distinct ones).

The product of its (nonzero) digits is 14336, while the sum is 36.

The square root of 10287288 is about 3207.3802393854. The cubic root of 10287288 is about 217.4871653148.

The spelling of 10287288 in words is "ten million, two hundred eighty-seven thousand, two hundred eighty-eight".