10792032 has 48 divisors (see below), whose sum is σ = 28707840. Its totient is φ = 3549312.

The previous prime is 10792013. The next prime is 10792039. The reversal of 10792032 is 23029701.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 10791993 and 10792011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10792039) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6873 + ... + 8295.

It is an arithmetic number, because the mean of its divisors is an integer number (598080).

Almost surely, 2^10792032 is an apocalyptic number.

10792032 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 10792032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14353920).

10792032 is an abundant number, since it is smaller than the sum of its proper divisors (17915808).

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

10792032 is a wasteful number, since it uses less digits than its factorization.

10792032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1515 (or 1507 counting only the distinct ones).

The product of its (nonzero) digits is 756, while the sum is 24.

The square root of 10792032 is about 3285.1228287539. The cubic root of 10792032 is about 220.9875166130.

The spelling of 10792032 in words is "ten million, seven hundred ninety-two thousand, thirty-two".