10038792 has 64 divisors (see below), whose sum is σ = 26357760. Its totient is φ = 3182400.

The previous prime is 10038781. The next prime is 10038797. The reversal of 10038792 is 29783001.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10038797) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 76567 + ... + 76697.

It is an arithmetic number, because the mean of its divisors is an integer number (411840).

Almost surely, 2^10038792 is an apocalyptic number.

10038792 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 10038792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13178880).

10038792 is an abundant number, since it is smaller than the sum of its proper divisors (16318968).

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

10038792 is a wasteful number, since it uses less digits than its factorization.

10038792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 274 (or 270 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 30.

The square root of 10038792 is about 3168.4052771071. The cubic root of 10038792 is about 215.7216923197.

The spelling of 10038792 in words is "ten million, thirty-eight thousand, seven hundred ninety-two".