971528352 has 96 divisors (see below), whose sum is σ = 2620138752. Its totient is φ = 315055104.

The previous prime is 971528339. The next prime is 971528417. The reversal of 971528352 is 253825179.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

Its product of digits (151200) is a multiple of the sum of its prime factors (1350).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 888318 + ... + 889410.

It is an arithmetic number, because the mean of its divisors is an integer number (27293112).

Almost surely, 2^971528352 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 971528352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1310069376).

971528352 is an abundant number, since it is smaller than the sum of its proper divisors (1648610400).

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

971528352 is a wasteful number, since it uses less digits than its factorization.

971528352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1350 (or 1342 counting only the distinct ones).

The product of its digits is 151200, while the sum is 42.

The square root of 971528352 is about 31169.3495601047. The cubic root of 971528352 is about 990.4179278223.

The spelling of 971528352 in words is "nine hundred seventy-one million, five hundred twenty-eight thousand, three hundred fifty-two".