10438792 has 48 divisors (see below), whose sum is σ = 24243840. Its totient is φ = 4125888.

The previous prime is 10438789. The next prime is 10438793. The reversal of 10438792 is 29783401.

It is not an unprimeable number, because it can be changed into a prime (10438793) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8913 + ... + 10015.

It is an arithmetic number, because the mean of its divisors is an integer number (505080).

Almost surely, 2^10438792 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 10438792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12121920).

10438792 is an abundant number, since it is smaller than the sum of its proper divisors (13805048).

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

10438792 is a wasteful number, since it uses less digits than its factorization.

10438792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1142 (or 1125 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 34.

The square root of 10438792 is about 3230.9119455658. The cubic root of 10438792 is about 218.5496329080.

The spelling of 10438792 in words is "ten million, four hundred thirty-eight thousand, seven hundred ninety-two".