9271728 has 90 divisors (see below), whose sum is σ = 27212172. Its totient is φ = 2946240.

The previous prime is 9271727. The next prime is 9271729. The reversal of 9271728 is 8271729.

9271728 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (9271727) and next prime (9271729).

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

It is a d-powerful number, because it can be written as 9⁵ + 2⁹ + 7 + 1 + 7⁷ + 2²³ + 8 .

It is a junction number, because it is equal to n+sod(n) for n = 9271692 and 9271701.

It is not an unprimeable number, because it can be changed into a prime (9271721) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 138351 + ... + 138417.

Almost surely, 2^9271728 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 9271728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13606086).

9271728 is an abundant number, since it is smaller than the sum of its proper divisors (17940444).

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

9271728 is a wasteful number, since it uses less digits than its factorization.

9271728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143 (or 103 counting only the distinct ones).

The product of its digits is 14112, while the sum is 36.

The square root of 9271728 is about 3044.9512311366. The cubic root of 9271728 is about 210.0810571444.

Subtracting from 9271728 its reverse (8271729), we obtain a palindrome (999999).

It can be divided in two parts, 9271 and 728, that added together give a palindrome (9999).

The spelling of 9271728 in words is "nine million, two hundred seventy-one thousand, seven hundred twenty-eight".