228798000 has 320 divisors, whose sum is σ = 866611200. Its totient is φ = 57542400.

The previous prime is 228797977. The next prime is 228798001. The reversal of 228798000 is 897822.

228798000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×228798000³ (a number of 26 digits) contains 333 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (228798001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1025889 + ... + 1026111.

It is an arithmetic number, because the mean of its divisors is an integer number (2708160).

Almost surely, 2^228798000 is an apocalyptic number.

228798000 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 228798000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (433305600).

228798000 is an abundant number, since it is smaller than the sum of its proper divisors (637813200).

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

228798000 is a wasteful number, since it uses less digits than its factorization.

228798000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 274 (or 252 counting only the distinct ones).

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

The square root of 228798000 is about 15126.0702100711. The cubic root of 228798000 is about 611.6233745771.

The spelling of 228798000 in words is "two hundred twenty-eight million, seven hundred ninety-eight thousand".