228084400 has 60 divisors (see below), whose sum is σ = 550645312. Its totient is φ = 90789120.

The previous prime is 228084371. The next prime is 228084401. The reversal of 228084400 is 4480822.

It is not an unprimeable number, because it can be changed into a prime (228084401) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 87922 + ... + 90478.

Almost surely, 2^228084400 is an apocalyptic number.

228084400 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 228084400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275322656).

228084400 is an abundant number, since it is smaller than the sum of its proper divisors (322560912).

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

228084400 is a wasteful number, since it uses less digits than its factorization.

228084400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2798 (or 2787 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 28.

The square root of 228084400 is about 15102.4633752246. The cubic root of 228084400 is about 610.9868466037.

It can be divided in two parts, 228084 and 400, that added together give a square (228484 = 478²).

The spelling of 228084400 in words is "two hundred twenty-eight million, eighty-four thousand, four hundred".