93728800 has 72 divisors (see below), whose sum is σ = 249640272. Its totient is φ = 34080000.

The previous prime is 93728759. The next prime is 93728813. The reversal of 93728800 is 882739.

It is a self number, because there is not a number n which added to its sum of digits gives 93728800.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3475 + ... + 14125.

It is an arithmetic number, because the mean of its divisors is an integer number (3467226).

Almost surely, 2^93728800 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 93728800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124820136).

93728800 is an abundant number, since it is smaller than the sum of its proper divisors (155911472).

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

93728800 is a wasteful number, since it uses less digits than its factorization.

93728800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10682 (or 10669 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 37.

The square root of 93728800 is about 9681.3635403284. The cubic root of 93728800 is about 454.2459029985.

The spelling of 93728800 in words is "ninety-three million, seven hundred twenty-eight thousand, eight hundred".