10282688 has 56 divisors (see below), whose sum is σ = 23298912. Its totient is φ = 4460544.

The previous prime is 10282687. The next prime is 10282751. The reversal of 10282688 is 88628201.

It is not an unprimeable number, because it can be changed into a prime (10282687) 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 7 ways as a sum of consecutive naturals, for example, 13781 + ... + 14507.

It is an arithmetic number, because the mean of its divisors is an integer number (416052).

Almost surely, 2^10282688 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 10282688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11649456).

10282688 is an abundant number, since it is smaller than the sum of its proper divisors (13016224).

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

10282688 is a wasteful number, since it uses less digits than its factorization.

10282688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 769 (or 759 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 35.

The square root of 10282688 is about 3206.6630630610. The cubic root of 10282688 is about 217.4547437438.

The spelling of 10282688 in words is "ten million, two hundred eighty-two thousand, six hundred eighty-eight".