238200528384 has 560 divisors, whose sum is σ = 878374217952. Its totient is φ = 62813159424.

The previous prime is 238200528383. The next prime is 238200528463. The reversal of 238200528384 is 483825002832.

It is a happy number.

238200528384 is a `hidden beast` number, since 23 + 8 + 20 + 0 + 528 + 3 + 84 = 666.

238200528384 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (238200528383) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 33962062 + ... + 33969074.

Almost surely, 2^238200528384 is an apocalyptic number.

238200528384 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 238200528384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (439187108976).

238200528384 is an abundant number, since it is smaller than the sum of its proper divisors (640173689568).

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

238200528384 is an frugal number, since it uses more digits than its factorization.

238200528384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7069 (or 7038 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 45.

The spelling of 238200528384 in words is "two hundred thirty-eight billion, two hundred million, five hundred twenty-eight thousand, three hundred eighty-four".