228593985600 has 672 divisors, whose sum is σ = 820186076160. Its totient is φ = 55544832000.

The previous prime is 228593985589. The next prime is 228593985617. The reversal of 228593985600 is 6589395822.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 278433190 + ... + 278434010.

Almost surely, 2^228593985600 is an apocalyptic number.

228593985600 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 228593985600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (410093038080).

228593985600 is an abundant number, since it is smaller than the sum of its proper divisors (591592090560).

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

228593985600 is a wasteful number, since it uses less digits than its factorization.

228593985600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 979 (or 964 counting only the distinct ones).

The product of its (nonzero) digits is 9331200, while the sum is 57.

The spelling of 228593985600 in words is "two hundred twenty-eight billion, five hundred ninety-three million, nine hundred eighty-five thousand, six hundred".