9528480 has 144 divisors (see below), whose sum is σ = 35085960. Its totient is φ = 2340864.

The previous prime is 9528433. The next prime is 9528511. The reversal of 9528480 is 848259.

It can be written as a sum of positive squares in 4 ways, for example, as 7420176 + 2108304 = 2724^2 + 1452^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×9528480² = 181583862220800, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18466 + ... + 18974.

Almost surely, 2^9528480 is an apocalyptic number.

9528480 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9528480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17542980).

9528480 is an abundant number, since it is smaller than the sum of its proper divisors (25557480).

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

9528480 is a wasteful number, since it uses less digits than its factorization.

9528480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 543 (or 532 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 9528480 is about 3086.8236101209. The cubic root of 9528480 is about 212.0026106241.

The spelling of 9528480 in words is "nine million, five hundred twenty-eight thousand, four hundred eighty".