228592000 has 256 divisors, whose sum is σ = 703946880. Its totient is φ = 71884800.

The previous prime is 228591997. The next prime is 228592003. The reversal of 228592000 is 295822.

It is an interprime number because it is at equal distance from previous prime (228591997) and next prime (228592003).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 228592000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (228592003) 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, 1455922 + ... + 1456078.

Almost surely, 2^228592000 is an apocalyptic number.

228592000 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 228592000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (351973440).

228592000 is an abundant number, since it is smaller than the sum of its proper divisors (475354880).

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

228592000 is a wasteful number, since it uses less digits than its factorization.

228592000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 206 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 28.

The square root of 228592000 is about 15119.2592411136. The cubic root of 228592000 is about 611.4397595580.

The spelling of 228592000 in words is "two hundred twenty-eight million, five hundred ninety-two thousand".