96628800 has 168 divisors, whose sum is σ = 325416672. Its totient is φ = 25088000.

The previous prime is 96628789. The next prime is 96628801. The reversal of 96628800 is 882669.

It is not an unprimeable number, because it can be changed into a prime (96628801) 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, 196555 + ... + 197045.

It is an arithmetic number, because the mean of its divisors is an integer number (1937004).

Almost surely, 2^96628800 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 96628800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162708336).

96628800 is an abundant number, since it is smaller than the sum of its proper divisors (228787872).

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

96628800 is a wasteful number, since it uses less digits than its factorization.

96628800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 557 (or 542 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 39.

The square root of 96628800 is about 9829.9949135287. The cubic root of 96628800 is about 458.8832393190.

The spelling of 96628800 in words is "ninety-six million, six hundred twenty-eight thousand, eight hundred".