228528561800 has 324 divisors, whose sum is σ = 680924396565. Its totient is φ = 71067427200.

The previous prime is 228528561799. The next prime is 228528561827. The reversal of 228528561800 is 8165825822.

It is a happy number.

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.

228528561800 is digitally balanced in base 2, 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 2 ways, for example, as 223957990564 + 4570571236 = 473242^2 + 67606^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=338030.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 520565981 + ... + 520566419.

Almost surely, 2^228528561800 is an apocalyptic number.

228528561800 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 228528561800

228528561800 is an abundant number, since it is smaller than the sum of its proper divisors (452395834765).

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

228528561800 is a wasteful number, since it uses less digits than its factorization.

228528561800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 930 (or 464 counting only the distinct ones).

The product of its (nonzero) digits is 614400, while the sum is 47.

The spelling of 228528561800 in words is "two hundred twenty-eight billion, five hundred twenty-eight million, five hundred sixty-one thousand, eight hundred".