228827456 has 84 divisors (see below), whose sum is σ = 537741876. Its totient is φ = 95969280.

The previous prime is 228827453. The next prime is 228827471. The reversal of 228827456 is 654728822.

It can be written as a sum of positive squares in 2 ways, for example, as 121000000 + 107827456 = 11000^2 + 10384^2 .

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (228827453) 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 11 ways as a sum of consecutive naturals, for example, 99536 + ... + 101808.

It is an arithmetic number, because the mean of its divisors is an integer number (6401689).

Almost surely, 2^228827456 is an apocalyptic number.

228827456 is a gapful number since it is divisible by the number (26) 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 228827456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268870938).

228827456 is an abundant number, since it is smaller than the sum of its proper divisors (308914420).

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

228827456 is a wasteful number, since it uses less digits than its factorization.

228827456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2320 (or 2299 counting only the distinct ones).

The product of its digits is 430080, while the sum is 44.

The square root of 228827456 is about 15127.0438619051. The cubic root of 228827456 is about 611.6496207347.

The spelling of 228827456 in words is "two hundred twenty-eight million, eight hundred twenty-seven thousand, four hundred fifty-six".