9541728 has 72 divisors (see below), whose sum is σ = 31017168. Its totient is φ = 2725632.

The previous prime is 9541723. The next prime is 9541729. The reversal of 9541728 is 8271459.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 9541692 and 9541701.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9541723) 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, 351 + ... + 4382.

It is an arithmetic number, because the mean of its divisors is an integer number (430794).

Almost surely, 2^9541728 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 9541728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15508584).

9541728 is an abundant number, since it is smaller than the sum of its proper divisors (21475440).

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

9541728 is a wasteful number, since it uses less digits than its factorization.

9541728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4756 (or 4745 counting only the distinct ones).

The product of its digits is 20160, while the sum is 36.

The square root of 9541728 is about 3088.9687599586. The cubic root of 9541728 is about 212.1008183106.

The spelling of 9541728 in words is "nine million, five hundred forty-one thousand, seven hundred twenty-eight".