10345728 has 72 divisors (see below), whose sum is σ = 29024800. Its totient is φ = 3262464.

The previous prime is 10345711. The next prime is 10345763. The reversal of 10345728 is 82754301.

It is a junction number, because it is equal to n+sod(n) for n = 10345695 and 10345704.

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, 14238 + ... + 14946.

Almost surely, 2^10345728 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 10345728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14512400).

10345728 is an abundant number, since it is smaller than the sum of its proper divisors (18679072).

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

10345728 is an equidigital number, since it uses as much as digits as its factorization.

10345728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 747 (or 733 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 30.

The square root of 10345728 is about 3216.4775764802. The cubic root of 10345728 is about 217.8982214344.

The spelling of 10345728 in words is "ten million, three hundred forty-five thousand, seven hundred twenty-eight".