972228753288 has 256 divisors, whose sum is σ = 3178799769600. Its totient is φ = 272467722240.

The previous prime is 972228753283. The next prime is 972228753289. The reversal of 972228753288 is 882357822279.

972228753288 is a `hidden beast` number, since 9 + 7 + 22 + 287 + 5 + 328 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (972228753283) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1151320 + ... + 1808312.

It is an arithmetic number, because the mean of its divisors is an integer number (12417186600).

Almost surely, 2^972228753288 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 972228753288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1589399884800).

972228753288 is an abundant number, since it is smaller than the sum of its proper divisors (2206571016312).

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

972228753288 is a wasteful number, since it uses less digits than its factorization.

972228753288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 657069 (or 657059 counting only the distinct ones).

The product of its digits is 54190080, while the sum is 63.

The spelling of 972228753288 in words is "nine hundred seventy-two billion, two hundred twenty-eight million, seven hundred fifty-three thousand, two hundred eighty-eight".