228768624 has 200 divisors, whose sum is σ = 766284288. Its totient is φ = 64540800.

The previous prime is 228768611. The next prime is 228768637. The reversal of 228768624 is 426867822.

228768624 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (228768611) and next prime (228768637).

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

It is a self number, because there is not a number n which added to its sum of digits gives 228768624.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1369789 + ... + 1369955.

Almost surely, 2^228768624 is an apocalyptic number.

228768624 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 228768624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (383142144).

228768624 is an abundant number, since it is smaller than the sum of its proper divisors (537515664).

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

228768624 is a wasteful number, since it uses less digits than its factorization.

228768624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 345 (or 330 counting only the distinct ones).

The product of its digits is 516096, while the sum is 45.

The square root of 228768624 is about 15125.0991401709. The cubic root of 228768624 is about 611.5971974584.

The spelling of 228768624 in words is "two hundred twenty-eight million, seven hundred sixty-eight thousand, six hundred twenty-four".