10409728 has 72 divisors (see below), whose sum is σ = 24544352. Its totient is φ = 4313088.

The previous prime is 10409717. The next prime is 10409743. The reversal of 10409728 is 82790401.

It is a self number, because there is not a number n which added to its sum of digits gives 10409728.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 66226 + ... + 66382.

Almost surely, 2^10409728 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 10409728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12272176).

10409728 is an abundant number, since it is smaller than the sum of its proper divisors (14134624).

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

10409728 is an equidigital number, since it uses as much as digits as its factorization.

10409728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217 (or 203 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 31.

The square root of 10409728 is about 3226.4110091555. The cubic root of 10409728 is about 218.3466135439.

The spelling of 10409728 in words is "ten million, four hundred nine thousand, seven hundred twenty-eight".