228789000 has 192 divisors, whose sum is σ = 843972480. Its totient is φ = 55440000.

The previous prime is 228788993. The next prime is 228789017. The reversal of 228789000 is 987822.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 97845 + ... + 100155.

It is an arithmetic number, because the mean of its divisors is an integer number (4395690).

Almost surely, 2^228789000 is an apocalyptic number.

228789000 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 228789000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (421986240).

228789000 is an abundant number, since it is smaller than the sum of its proper divisors (615183480).

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

228789000 is a wasteful number, since it uses less digits than its factorization.

228789000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2349 (or 2332 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 228789000 is about 15125.7727075346. The cubic root of 228789000 is about 611.6153548646.

It can be divided in two parts, 22878 and 9000, that added together give a triangular number (31878 = T₂₅₂).

The spelling of 228789000 in words is "two hundred twenty-eight million, seven hundred eighty-nine thousand".