9528671040 has 224 divisors, whose sum is σ = 34656491520. Its totient is φ = 2172880896.

The previous prime is 9528671023. The next prime is 9528671059. The reversal of 9528671040 is 401768259.

It is a tau number, because it is divible by the number of its divisors (224).

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

It is a junction number, because it is equal to n+sod(n) for n = 9528670983 and 9528671001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3378751 + ... + 3381569.

It is an arithmetic number, because the mean of its divisors is an integer number (154716480).

Almost surely, 2^9528671040 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 9528671040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17328245760).

9528671040 is an abundant number, since it is smaller than the sum of its proper divisors (25127820480).

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

9528671040 is a wasteful number, since it uses less digits than its factorization.

9528671040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3349 (or 3339 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 42.

The square root of 9528671040 is about 97614.9119755788. The cubic root of 9528671040 is about 2120.0402745404.

The spelling of 9528671040 in words is "nine billion, five hundred twenty-eight million, six hundred seventy-one thousand, forty".