228587520 has 192 divisors, whose sum is σ = 836559360. Its totient is φ = 52199424.

The previous prime is 228587507. The next prime is 228587551. The reversal of 228587520 is 25785822.

It is a happy number.

228587520 is digitally balanced in base 2, 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 (192).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 214509 + ... + 215571.

It is an arithmetic number, because the mean of its divisors is an integer number (4357080).

Almost surely, 2^228587520 is an apocalyptic number.

228587520 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 228587520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (418279680).

228587520 is an abundant number, since it is smaller than the sum of its proper divisors (607971840).

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

228587520 is a wasteful number, since it uses less digits than its factorization.

228587520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1100 (or 1080 counting only the distinct ones).

The product of its (nonzero) digits is 89600, while the sum is 39.

The square root of 228587520 is about 15119.1110849812. Note that the first 3 decimals coincide. The cubic root of 228587520 is about 611.4357651517.

The spelling of 228587520 in words is "two hundred twenty-eight million, five hundred eighty-seven thousand, five hundred twenty".