228995456820 has 192 divisors, whose sum is σ = 729363554304. Its totient is φ = 53280944640.

The previous prime is 228995456819. The next prime is 228995456849. The reversal of 228995456820 is 28654599822.

It is a happy number.

228995456820 is digitally balanced in base 2, 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 (60).

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 929619 + ... + 1149861.

It is an arithmetic number, because the mean of its divisors is an integer number (3798768512).

Almost surely, 2^228995456820 is an apocalyptic number.

228995456820 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 228995456820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (364681777152).

228995456820 is an abundant number, since it is smaller than the sum of its proper divisors (500368097484).

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

228995456820 is a wasteful number, since it uses less digits than its factorization.

228995456820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220342 (or 220340 counting only the distinct ones).

The product of its (nonzero) digits is 24883200, while the sum is 60.

The spelling of 228995456820 in words is "two hundred twenty-eight billion, nine hundred ninety-five million, four hundred fifty-six thousand, eight hundred twenty".