228342758400 has 330 divisors, whose sum is σ = 845534065640. Its totient is φ = 60890849280.

The previous prime is 228342758341. The next prime is 228342758407. The reversal of 228342758400 is 4857243822.

228342758400 is a `hidden beast` number, since 2 + 28 + 3 + 42 + 7 + 584 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (228342758407) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 2018541 + ... + 2128659.

Almost surely, 2^228342758400 is an apocalyptic number.

228342758400 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 228342758400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (422767032820).

228342758400 is an abundant number, since it is smaller than the sum of its proper divisors (617191307240).

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

228342758400 is a wasteful number, since it uses less digits than its factorization.

228342758400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110161 (or 110129 counting only the distinct ones).

The product of its (nonzero) digits is 860160, while the sum is 45.

The spelling of 228342758400 in words is "two hundred twenty-eight billion, three hundred forty-two million, seven hundred fifty-eight thousand, four hundred".