228352820000 has 270 divisors, whose sum is σ = 585863220789. Its totient is φ = 87583680000.

The previous prime is 228352819993. The next prime is 228352820021. The reversal of 228352820000 is 28253822.

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.

228352820000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 1506371344 + 226846448656 = 38812^2 + 476284^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=337900.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 2094979946 + ... + 2094980054.

Almost surely, 2^228352820000 is an apocalyptic number.

228352820000 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 228352820000

228352820000 is an abundant number, since it is smaller than the sum of its proper divisors (357510400789).

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

228352820000 is an frugal number, since it uses more digits than its factorization.

228352820000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 310 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 32.

Multiplying 228352820000 by its sum of digits (32), we get a square (7307290240000 = 2703200²).

228352820000 divided by its sum of digits (32) gives a square (7136025625 = 84475²).

The spelling of 228352820000 in words is "two hundred twenty-eight billion, three hundred fifty-two million, eight hundred twenty thousand".