228325788800 has 72 divisors (see below), whose sum is σ = 564102831585. Its totient is φ = 91319503360.

The previous prime is 228325788791. The next prime is 228325788809. The reversal of 228325788800 is 8887523822.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is an interprime number because it is at equal distance from previous prime (228325788791) and next prime (228325788809).

It can be written as a sum of positive squares in 2 ways, for example, as 223759273024 + 4566515776 = 473032^2 + 67576^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=337880.

It is a super-2 number, since 2×228325788800² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (228325788809) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 27026177 + ... + 27034623.

Almost surely, 2^228325788800 is an apocalyptic number.

228325788800 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

228325788800 is an abundant number, since it is smaller than the sum of its proper divisors (335777042785).

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

228325788800 is an frugal number, since it uses more digits than its factorization.

228325788800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16918 (or 8454 counting only the distinct ones).

The product of its (nonzero) digits is 3440640, while the sum is 53.

The spelling of 228325788800 in words is "two hundred twenty-eight billion, three hundred twenty-five million, seven hundred eighty-eight thousand, eight hundred".