10093328 has 40 divisors (see below), whose sum is σ = 22504512. Its totient is φ = 4295808.

The previous prime is 10093319. The next prime is 10093331. The reversal of 10093328 is 82339001.

It is a Cunningham number, because it is equal to 3177²-1.

It is a junction number, because it is equal to n+sod(n) for n = 10093297 and 10093306.

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 7 ways as a sum of consecutive naturals, for example, 25226 + ... + 25622.

Almost surely, 2^10093328 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 10093328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11252256).

10093328 is an abundant number, since it is smaller than the sum of its proper divisors (12411184).

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

10093328 is a wasteful number, since it uses less digits than its factorization.

10093328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 639 (or 633 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 26.

The square root of 10093328 is about 3176.9998426188. Note that the first 3 decimals coincide. The cubic root of 10093328 is about 216.1116249746. Note that the first 3 decimals are identical.

The spelling of 10093328 in words is "ten million, ninety-three thousand, three hundred twenty-eight".