10093728 has 24 divisors (see below), whose sum is σ = 26496288. Its totient is φ = 3364544.

The previous prime is 10093717. The next prime is 10093739. The reversal of 10093728 is 82739001.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (10093717) and next prime (10093739).

It is a tau number, because it is divible by the number of its divisors (24).

It is a junction number, because it is equal to n+sod(n) for n = 10093695 and 10093704.

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 3 ways as a sum of consecutive naturals, for example, 52476 + ... + 52667.

It is an arithmetic number, because the mean of its divisors is an integer number (1104012).

Almost surely, 2^10093728 is an apocalyptic number.

It is an amenable number.

10093728 is an abundant number, since it is smaller than the sum of its proper divisors (16402560).

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

10093728 is a wasteful number, since it uses less digits than its factorization.

10093728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105156 (or 105148 counting only the distinct ones).

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

The square root of 10093728 is about 3177.0627944691. The cubic root of 10093728 is about 216.1144797815.

The spelling of 10093728 in words is "ten million, ninety-three thousand, seven hundred twenty-eight".