228760549600 has 288 divisors, whose sum is σ = 631692069120. Its totient is φ = 80168448000.

The previous prime is 228760549579. The next prime is 228760549627. The reversal of 228760549600 is 6945067822.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 29942581 + ... + 29950219.

It is an arithmetic number, because the mean of its divisors is an integer number (2193375240).

Almost surely, 2^228760549600 is an apocalyptic number.

228760549600 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 228760549600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (315846034560).

228760549600 is an abundant number, since it is smaller than the sum of its proper divisors (402931519520).

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

228760549600 is a wasteful number, since it uses less digits than its factorization.

228760549600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7794 (or 7781 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 49.

The spelling of 228760549600 in words is "two hundred twenty-eight billion, seven hundred sixty million, five hundred forty-nine thousand, six hundred".