971161728 has 64 divisors (see below), whose sum is σ = 2586842400. Its totient is φ = 322818048.

The previous prime is 971161727. The next prime is 971161733. The reversal of 971161728 is 827161179.

It is a tau number, because it is divible by the number of its divisors (64).

It is a self number, because there is not a number n which added to its sum of digits gives 971161728.

It is not an unprimeable number, because it can be changed into a prime (971161727) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 142200 + ... + 148872.

Almost surely, 2^971161728 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 971161728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1293421200).

971161728 is an abundant number, since it is smaller than the sum of its proper divisors (1615680672).

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

971161728 is a wasteful number, since it uses less digits than its factorization.

971161728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7069 (or 7057 counting only the distinct ones).

The product of its digits is 42336, while the sum is 42.

The square root of 971161728 is about 31163.4678429728. The cubic root of 971161728 is about 990.2933280386.

The spelling of 971161728 in words is "nine hundred seventy-one million, one hundred sixty-one thousand, seven hundred twenty-eight".