228884413824 has 768 divisors, whose sum is σ = 793143187200. Its totient is φ = 64975011840.

The previous prime is 228884413811. The next prime is 228884413831. The reversal of 228884413824 is 428314488822.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 890600704 + ... + 890600960.

It is an arithmetic number, because the mean of its divisors is an integer number (1032738525).

Almost surely, 2^228884413824 is an apocalyptic number.

228884413824 is a gapful number since it is divisible by the number (24) 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 228884413824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (396571593600).

228884413824 is an abundant number, since it is smaller than the sum of its proper divisors (564258773376).

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

228884413824 is a wasteful number, since it uses less digits than its factorization.

228884413824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 453 (or 429 counting only the distinct ones).

The product of its digits is 6291456, while the sum is 54.

The spelling of 228884413824 in words is "two hundred twenty-eight billion, eight hundred eighty-four million, four hundred thirteen thousand, eight hundred twenty-four".