9628031952 has 600 divisors, whose sum is σ = 35919576000. Its totient is φ = 2486816640.

The previous prime is 9628031911. The next prime is 9628031953. The reversal of 9628031952 is 2591308269.

9628031952 is a `hidden beast` number, since 9 + 6 + 280 + 319 + 52 = 666.

It is a super-3 number, since 3×9628031952³ (a number of 31 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 9628031898 and 9628031907.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9628031953) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 53787799 + ... + 53787977.

It is an arithmetic number, because the mean of its divisors is an integer number (59865960).

Almost surely, 2^9628031952 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 9628031952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17959788000).

9628031952 is an abundant number, since it is smaller than the sum of its proper divisors (26291544048).

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

9628031952 is a wasteful number, since it uses less digits than its factorization.

9628031952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 242 (or 202 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The square root of 9628031952 is about 98122.5353932520. The cubic root of 9628031952 is about 2127.3837666263.

The spelling of 9628031952 in words is "nine billion, six hundred twenty-eight million, thirty-one thousand, nine hundred fifty-two".