10288782 has 80 divisors (see below), whose sum is σ = 27088512. Its totient is φ = 2857680.

The previous prime is 10288781. The next prime is 10288783. The reversal of 10288782 is 28788201.

It is an interprime number because it is at equal distance from previous prime (10288781) and next prime (10288783).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10288781) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 48657 + ... + 48867.

Almost surely, 2^10288782 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10288782, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13544256).

10288782 is an abundant number, since it is smaller than the sum of its proper divisors (16799730).

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

10288782 is a wasteful number, since it uses less digits than its factorization.

10288782 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 275 (or 266 counting only the distinct ones).

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

The square root of 10288782 is about 3207.6131312863. The cubic root of 10288782 is about 217.4976931979.

The spelling of 10288782 in words is "ten million, two hundred eighty-eight thousand, seven hundred eighty-two".