10382892 has 96 divisors (see below), whose sum is σ = 28600320. Its totient is φ = 2903040.

The previous prime is 10382887. The next prime is 10382893. The reversal of 10382892 is 29828301.

It is not an unprimeable number, because it can be changed into a prime (10382893) 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 31 ways as a sum of consecutive naturals, for example, 91828 + ... + 91940.

It is an arithmetic number, because the mean of its divisors is an integer number (297920).

Almost surely, 2^10382892 is an apocalyptic number.

10382892 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 10382892, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14300160).

10382892 is an abundant number, since it is smaller than the sum of its proper divisors (18217428).

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

10382892 is a wasteful number, since it uses less digits than its factorization.

10382892 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 183 (or 181 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 33.

The square root of 10382892 is about 3222.2495247885. The cubic root of 10382892 is about 218.1588215030.

The spelling of 10382892 in words is "ten million, three hundred eighty-two thousand, eight hundred ninety-two".