10093392 has 60 divisors (see below), whose sum is σ = 29233620. Its totient is φ = 3247104.

The previous prime is 10093379. The next prime is 10093399. The reversal of 10093392 is 29339001.

It can be written as a sum of positive squares in 2 ways, for example, as 8088336 + 2005056 = 2844^2 + 1416^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10093399) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2968 + ... + 5384.

It is an arithmetic number, because the mean of its divisors is an integer number (487227).

Almost surely, 2^10093392 is an apocalyptic number.

10093392 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 10093392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14616810).

10093392 is an abundant number, since it is smaller than the sum of its proper divisors (19140228).

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

10093392 is a wasteful number, since it uses less digits than its factorization.

10093392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2460 (or 2451 counting only the distinct ones).

The product of its (nonzero) digits is 1458, while the sum is 27.

The square root of 10093392 is about 3177.0099149987. The cubic root of 10093392 is about 216.1120817488.

It can be divided in two parts, 100933 and 92, that added together give a triangular number (101025 = T₄₄₉).

The spelling of 10093392 in words is "ten million, ninety-three thousand, three hundred ninety-two".