971032128 has 112 divisors (see below), whose sum is σ = 2817327360. Its totient is φ = 292723200.

The previous prime is 971032121. The next prime is 971032171. The reversal of 971032128 is 821230179.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (971032121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 444543 + ... + 446721.

Almost surely, 2^971032128 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 971032128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1408663680).

971032128 is an abundant number, since it is smaller than the sum of its proper divisors (1846295232).

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

971032128 is a wasteful number, since it uses less digits than its factorization.

971032128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2416 (or 2406 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 33.

The square root of 971032128 is about 31161.3884157943. The cubic root of 971032128 is about 990.2492750517.

The spelling of 971032128 in words is "nine hundred seventy-one million, thirty-two thousand, one hundred twenty-eight".