228978719424 has 896 divisors, whose sum is σ = 865183334400. Its totient is φ = 57763860480.

The previous prime is 228978719413. The next prime is 228978719467. The reversal of 228978719424 is 424917879822.

It is a Harshad number since it is a multiple of its sum of digits (63).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 521591397 + ... + 521591835.

It is an arithmetic number, because the mean of its divisors is an integer number (965606400).

Almost surely, 2^228978719424 is an apocalyptic number.

228978719424 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 228978719424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (432591667200).

228978719424 is an abundant number, since it is smaller than the sum of its proper divisors (636204614976).

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

228978719424 is a wasteful number, since it uses less digits than its factorization.

228978719424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 618 (or 602 counting only the distinct ones).

The product of its digits is 32514048, while the sum is 63.

The spelling of 228978719424 in words is "two hundred twenty-eight billion, nine hundred seventy-eight million, seven hundred nineteen thousand, four hundred twenty-four".