9145728 has 96 divisors (see below), whose sum is σ = 27925560. Its totient is φ = 2863104.

The previous prime is 9145699. The next prime is 9145739. The reversal of 9145728 is 8275419.

It is a tau number, because it is divible by the number of its divisors (96).

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

Its product of digits (20160) is a multiple of the sum of its prime factors (504).

It is a junction number, because it is equal to n+sod(n) for n = 9145692 and 9145701.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 19351 + ... + 19817.

Almost surely, 2^9145728 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 9145728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13962780).

9145728 is an abundant number, since it is smaller than the sum of its proper divisors (18779832).

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

9145728 is a wasteful number, since it uses less digits than its factorization.

9145728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 504 (or 489 counting only the distinct ones).

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

The square root of 9145728 is about 3024.1904701920. The cubic root of 9145728 is about 209.1250672727.

The spelling of 9145728 in words is "nine million, one hundred forty-five thousand, seven hundred twenty-eight".