9145571328 has 576 divisors, whose sum is σ = 30908666880. Its totient is φ = 2686058496.

The previous prime is 9145571317. The next prime is 9145571353. The reversal of 9145571328 is 8231755419.

9145571328 is a `hidden beast` number, since 9 + 1 + 45 + 571 + 32 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 194586601 + ... + 194586647.

It is an arithmetic number, because the mean of its divisors is an integer number (53660880).

Almost surely, 2^9145571328 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 9145571328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15454333440).

9145571328 is an abundant number, since it is smaller than the sum of its proper divisors (21763095552).

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

9145571328 is a wasteful number, since it uses less digits than its factorization.

9145571328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124 (or 92 counting only the distinct ones).

The product of its digits is 302400, while the sum is 45.

The square root of 9145571328 is about 95632.4805074092. The cubic root of 9145571328 is about 2091.2387311849.

The spelling of 9145571328 in words is "nine billion, one hundred forty-five million, five hundred seventy-one thousand, three hundred twenty-eight".