228365760 has 224 divisors, whose sum is σ = 877824000. Its totient is φ = 49102848.

The previous prime is 228365759. The next prime is 228365779. The reversal of 228365760 is 67563822.

228365760 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (224).

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 113241 + ... + 115239.

Almost surely, 2^228365760 is an apocalyptic number.

228365760 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 228365760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (438912000).

228365760 is an abundant number, since it is smaller than the sum of its proper divisors (649458240).

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

228365760 is a wasteful number, since it uses less digits than its factorization.

228365760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2043 (or 2033 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 39.

The square root of 228365760 is about 15111.7755409482. The cubic root of 228365760 is about 611.2379767710.

The spelling of 228365760 in words is "two hundred twenty-eight million, three hundred sixty-five thousand, seven hundred sixty".