228800592 has 160 divisors (see below), whose sum is σ = 684182400. Its totient is φ = 73156608.

The previous prime is 228800591. The next prime is 228800609. The reversal of 228800592 is 295008822.

228800592 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (228800591) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2024728 + ... + 2024840.

It is an arithmetic number, because the mean of its divisors is an integer number (4276140).

Almost surely, 2^228800592 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 228800592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (342091200).

228800592 is an abundant number, since it is smaller than the sum of its proper divisors (455381808).

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

228800592 is a wasteful number, since it uses less digits than its factorization.

228800592 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 282 (or 270 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 228800592 is about 15126.1558897163. The cubic root of 228800592 is about 611.6256842153.

The spelling of 228800592 in words is "two hundred twenty-eight million, eight hundred thousand, five hundred ninety-two".