228627360 has 480 divisors, whose sum is σ = 922078080. Its totient is φ = 52918272.

The previous prime is 228627353. The next prime is 228627367. The reversal of 228627360 is 63726822.

228627360 is a `hidden beast` number, since 2 + 28 + 627 + 3 + 6 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (228627353) and next prime (228627367).

It is a tau number, because it is divible by the number of its divisors (480).

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 (228627367) 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 79 ways as a sum of consecutive naturals, for example, 3875011 + ... + 3875069.

It is an arithmetic number, because the mean of its divisors is an integer number (1920996).

Almost surely, 2^228627360 is an apocalyptic number.

228627360 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 228627360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (461039040).

228627360 is an abundant number, since it is smaller than the sum of its proper divisors (693450720).

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

228627360 is a wasteful number, since it uses less digits than its factorization.

228627360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122 (or 105 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 228627360 is about 15120.4285653549. The cubic root of 228627360 is about 611.4712850054.

It can be divided in two parts, 2286 and 27360, that added together give a triangular number (29646 = T₂₄₃).

The spelling of 228627360 in words is "two hundred twenty-eight million, six hundred twenty-seven thousand, three hundred sixty".