228779800 has 96 divisors (see below), whose sum is σ = 549607680. Its totient is φ = 88524800.

The previous prime is 228779797. The next prime is 228779801. The reversal of 228779800 is 8977822.

228779800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (228779801) 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, 1197705 + ... + 1197895.

It is an arithmetic number, because the mean of its divisors is an integer number (5725080).

Almost surely, 2^228779800 is an apocalyptic number.

228779800 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 228779800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274803840).

228779800 is an abundant number, since it is smaller than the sum of its proper divisors (320827880).

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

228779800 is a wasteful number, since it uses less digits than its factorization.

228779800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 373 (or 364 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 43.

The square root of 228779800 is about 15125.4685877827. The cubic root of 228779800 is about 611.6071567189.

The spelling of 228779800 in words is "two hundred twenty-eight million, seven hundred seventy-nine thousand, eight hundred".