971555328 has 240 divisors, whose sum is σ = 2987487360. Its totient is φ = 303316992.

The previous prime is 971555327. The next prime is 971555339. The reversal of 971555328 is 823555179.

971555328 is a `hidden beast` number, since 9 + 71 + 5 + 553 + 28 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (971555327) 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 23 ways as a sum of consecutive naturals, for example, 9432525 + ... + 9432627.

It is an arithmetic number, because the mean of its divisors is an integer number (12447864).

Almost surely, 2^971555328 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 971555328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1493743680).

971555328 is an abundant number, since it is smaller than the sum of its proper divisors (2015932032).

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

971555328 is a wasteful number, since it uses less digits than its factorization.

971555328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 239 (or 220 counting only the distinct ones).

The product of its digits is 378000, while the sum is 45.

The square root of 971555328 is about 31169.7822899038. The cubic root of 971555328 is about 990.4270945703.

The spelling of 971555328 in words is "nine hundred seventy-one million, five hundred fifty-five thousand, three hundred twenty-eight".