971891928 has 96 divisors (see below), whose sum is σ = 3013920000. Its totient is φ = 277159104.

The previous prime is 971891917. The next prime is 971891929. The reversal of 971891928 is 829198179.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (971891929) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 322573 + ... + 325571.

It is an arithmetic number, because the mean of its divisors is an integer number (31395000).

Almost surely, 2^971891928 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 971891928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1506960000).

971891928 is an abundant number, since it is smaller than the sum of its proper divisors (2042028072).

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

971891928 is a wasteful number, since it uses less digits than its factorization.

971891928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3661 (or 3654 counting only the distinct ones).

The product of its digits is 653184, while the sum is 54.

The square root of 971891928 is about 31175.1812825523. The cubic root of 971891928 is about 990.5414607684.

The spelling of 971891928 in words is "nine hundred seventy-one million, eight hundred ninety-one thousand, nine hundred twenty-eight".