95628800 has 120 divisors (see below), whose sum is σ = 245585472. Its totient is φ = 36864000.

The previous prime is 95628763. The next prime is 95628811. The reversal of 95628800 is 882659.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 396680 + ... + 396920.

Almost surely, 2^95628800 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 95628800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122792736).

95628800 is an abundant number, since it is smaller than the sum of its proper divisors (149956672).

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

95628800 is a wasteful number, since it uses less digits than its factorization.

95628800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 300 (or 279 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 38.

The square root of 95628800 is about 9778.9979036709. The cubic root of 95628800 is about 457.2947709403.

The spelling of 95628800 in words is "ninety-five million, six hundred twenty-eight thousand, eight hundred".