10745728 has 64 divisors (see below), whose sum is σ = 24969600. Its totient is φ = 4511232.

The previous prime is 10745723. The next prime is 10745737. The reversal of 10745728 is 82754701.

It is a happy number.

10745728 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 10745693 and 10745702.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10745723) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 59943 + ... + 60121.

It is an arithmetic number, because the mean of its divisors is an integer number (390150).

Almost surely, 2^10745728 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 10745728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12484800).

10745728 is an abundant number, since it is smaller than the sum of its proper divisors (14223872).

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

10745728 is an equidigital number, since it uses as much as digits as its factorization.

10745728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 267 (or 255 counting only the distinct ones).

The product of its (nonzero) digits is 15680, while the sum is 34.

The square root of 10745728 is about 3278.0677235225. The cubic root of 10745728 is about 220.6710091646.

The spelling of 10745728 in words is "ten million, seven hundred forty-five thousand, seven hundred twenty-eight".