9528400 has 120 divisors (see below), whose sum is σ = 27123264. Its totient is φ = 3148800.

The previous prime is 9528391. The next prime is 9528403. The reversal of 9528400 is 48259.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9528403) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 114759 + ... + 114841.

Almost surely, 2^9528400 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 9528400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13561632).

9528400 is an abundant number, since it is smaller than the sum of its proper divisors (17594864).

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

9528400 is a wasteful number, since it uses less digits than its factorization.

9528400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 28.

The square root of 9528400 is about 3086.8106517893. The cubic root of 9528400 is about 212.0020173061.

The spelling of 9528400 in words is "nine million, five hundred twenty-eight thousand, four hundred".