228004000 has 192 divisors, whose sum is σ = 679311360. Its totient is φ = 73420800.

The previous prime is 228003961. The next prime is 228004001. The reversal of 228004000 is 400822.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (228004001) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 475761 + ... + 476239.

It is an arithmetic number, because the mean of its divisors is an integer number (3538080).

Almost surely, 2^228004000 is an apocalyptic number.

228004000 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 228004000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (339655680).

228004000 is an abundant number, since it is smaller than the sum of its proper divisors (451307360).

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

228004000 is a wasteful number, since it uses less digits than its factorization.

228004000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 528 (or 510 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

The square root of 228004000 is about 15099.8013231963. The cubic root of 228004000 is about 610.9150469898.

Adding to 228004000 its reverse (400822), we get a palindrome (228404822).

The spelling of 228004000 in words is "two hundred twenty-eight million, four thousand".