228579120 has 720 divisors, whose sum is σ = 1058503680. Its totient is φ = 43545600.

The previous prime is 228579107. The next prime is 228579137. The reversal of 228579120 is 21975822.

It is a tau number, because it is divible by the number of its divisors (720).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 7373505 + ... + 7373535.

It is an arithmetic number, because the mean of its divisors is an integer number (1470144).

Almost surely, 2^228579120 is an apocalyptic number.

228579120 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 228579120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (529251840).

228579120 is an abundant number, since it is smaller than the sum of its proper divisors (829924560).

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

228579120 is a wasteful number, since it uses less digits than its factorization.

228579120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 228579120 is about 15118.8332883196. The cubic root of 228579120 is about 611.4282754991.

The spelling of 228579120 in words is "two hundred twenty-eight million, five hundred seventy-nine thousand, one hundred twenty".