971148528 has 240 divisors, whose sum is σ = 3412281600. Its totient is φ = 261024768.

The previous prime is 971148499. The next prime is 971148547. The reversal of 971148528 is 825841179.

971148528 is a `hidden beast` number, since 9 + 7 + 114 + 8 + 528 = 666.

971148528 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 461623 + ... + 463721.

It is an arithmetic number, because the mean of its divisors is an integer number (14217840).

Almost surely, 2^971148528 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 971148528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1706140800).

971148528 is an abundant number, since it is smaller than the sum of its proper divisors (2441133072).

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

971148528 is a wasteful number, since it uses less digits than its factorization.

971148528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2146 (or 2128 counting only the distinct ones).

The product of its digits is 161280, while the sum is 45.

The square root of 971148528 is about 31163.2560558103. The cubic root of 971148528 is about 990.2888413396.

The spelling of 971148528 in words is "nine hundred seventy-one million, one hundred forty-eight thousand, five hundred twenty-eight".