10289888 has 48 divisors (see below), whose sum is σ = 23514624. Its totient is φ = 4341120.

The previous prime is 10289863. The next prime is 10289891. The reversal of 10289888 is 88898201.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15581 + ... + 16227.

It is an arithmetic number, because the mean of its divisors is an integer number (489888).

Almost surely, 2^10289888 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 10289888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11757312).

10289888 is an abundant number, since it is smaller than the sum of its proper divisors (13224736).

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

10289888 is an equidigital number, since it uses as much as digits as its factorization.

10289888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 735 (or 727 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 44.

The square root of 10289888 is about 3207.7855289904. The cubic root of 10289888 is about 217.5054862755.

The spelling of 10289888 in words is "ten million, two hundred eighty-nine thousand, eight hundred eighty-eight".