10327792 has 40 divisors (see below), whose sum is σ = 21494160. Its totient is φ = 4792320.

The previous prime is 10327769. The next prime is 10327813. The reversal of 10327792 is 29772301.

It is a hoax number, since the sum of its digits (31) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 15792 + ... + 16432.

It is an arithmetic number, because the mean of its divisors is an integer number (537354).

Almost surely, 2^10327792 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 10327792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10747080).

10327792 is an abundant number, since it is smaller than the sum of its proper divisors (11166368).

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

10327792 is a wasteful number, since it uses less digits than its factorization.

10327792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 721 (or 715 counting only the distinct ones).

The product of its (nonzero) digits is 5292, while the sum is 31.

The square root of 10327792 is about 3213.6882238325. The cubic root of 10327792 is about 217.7722279425.

The spelling of 10327792 in words is "ten million, three hundred twenty-seven thousand, seven hundred ninety-two".