10092768 has 96 divisors (see below), whose sum is σ = 31643136. Its totient is φ = 2754048.

The previous prime is 10092751. The next prime is 10092773. The reversal of 10092768 is 86729001.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15130 + ... + 15782.

It is an arithmetic number, because the mean of its divisors is an integer number (329616).

Almost surely, 2^10092768 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 10092768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15821568).

10092768 is an abundant number, since it is smaller than the sum of its proper divisors (21550368).

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

10092768 is a wasteful number, since it uses less digits than its factorization.

10092768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 696 (or 688 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 33.

The square root of 10092768 is about 3176.9117079327. The cubic root of 10092768 is about 216.1076281182.

It can be divided in two parts, 10092 and 768, that multiplied together give a square (7750656 = 2784²).

The spelling of 10092768 in words is "ten million, ninety-two thousand, seven hundred sixty-eight".