10286892 has 96 divisors (see below), whose sum is σ = 33277440. Its totient is φ = 2669760.

The previous prime is 10286891. The next prime is 10286893. The reversal of 10286892 is 29868201.

It is an interprime number because it is at equal distance from previous prime (10286891) and next prime (10286893).

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

It is not an unprimeable number, because it can be changed into a prime (10286891) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7698 + ... + 8934.

It is an arithmetic number, because the mean of its divisors is an integer number (346640).

Almost surely, 2^10286892 is an apocalyptic number.

10286892 is a gapful number since it is divisible by the number (12) 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 10286892, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16638720).

10286892 is an abundant number, since it is smaller than the sum of its proper divisors (22990548).

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

10286892 is a wasteful number, since it uses less digits than its factorization.

10286892 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1268 (or 1260 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 10286892 is about 3207.3185061668. The cubic root of 10286892 is about 217.4843746206.

The spelling of 10286892 in words is "ten million, two hundred eighty-six thousand, eight hundred ninety-two".