9528062400 has 420 divisors, whose sum is σ = 35987424088. Its totient is φ = 2470901760.

The previous prime is 9528062399. The next prime is 9528062477. The reversal of 9528062400 is 42608259.

It is a happy number.

9528062400 is a `hidden beast` number, since 9 + 5 + 28 + 0 + 624 + 0 + 0 = 666.

9528062400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 4794207 + ... + 4796193.

Almost surely, 2^9528062400 is an apocalyptic number.

9528062400 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 9528062400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17993712044).

9528062400 is an abundant number, since it is smaller than the sum of its proper divisors (26459361688).

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

9528062400 is a wasteful number, since it uses less digits than its factorization.

9528062400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2058 (or 2034 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 9528062400 is about 97611.7943693281. The cubic root of 9528062400 is about 2119.9951346750.

The spelling of 9528062400 in words is "nine billion, five hundred twenty-eight million, sixty-two thousand, four hundred".