9457728 has 112 divisors (see below), whose sum is σ = 29650944. Its totient is φ = 2603520.

The previous prime is 9457727. The next prime is 9457739. The reversal of 9457728 is 8277549.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-3 number, since 3×9457728³ (a number of 22 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

Its product of digits (141120) is a multiple of the sum of its prime factors (280).

It is a self number, because there is not a number n which added to its sum of digits gives 9457728.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9457727) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 41551 + ... + 41777.

Almost surely, 2^9457728 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 9457728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14825472).

9457728 is an abundant number, since it is smaller than the sum of its proper divisors (20193216).

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

9457728 is a wasteful number, since it uses less digits than its factorization.

9457728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 280 (or 270 counting only the distinct ones).

The product of its digits is 141120, while the sum is 42.

The square root of 9457728 is about 3075.3419322085. The cubic root of 9457728 is about 211.4765775022.

The spelling of 9457728 in words is "nine million, four hundred fifty-seven thousand, seven hundred twenty-eight".