228828967200 has 432 divisors, whose sum is σ = 820892584512. Its totient is φ = 59969280000.

The previous prime is 228828967183. The next prime is 228828967219. The reversal of 228828967200 is 2769828822.

228828967200 is a `hidden beast` number, since 2 + 288 + 289 + 67 + 20 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 235662715 + ... + 235663685.

It is an arithmetic number, because the mean of its divisors is an integer number (1900214316).

Almost surely, 2^228828967200 is an apocalyptic number.

228828967200 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 228828967200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (410446292256).

228828967200 is an abundant number, since it is smaller than the sum of its proper divisors (592063617312).

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

228828967200 is a wasteful number, since it uses less digits than its factorization.

228828967200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1529 (or 1513 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 54.

The spelling of 228828967200 in words is "two hundred twenty-eight billion, eight hundred twenty-eight million, nine hundred sixty-seven thousand, two hundred".