238724928000 has 640 divisors, whose sum is σ = 949816707840. Its totient is φ = 58757529600.

The previous prime is 238724927983. The next prime is 238724928007. The reversal of 238724928000 is 829427832.

238724928000 is a `hidden beast` number, since 2 + 3 + 87 + 2 + 492 + 80 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

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

It is not an unprimeable number, because it can be changed into a prime (238724928007) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 22458687 + ... + 22469313.

It is an arithmetic number, because the mean of its divisors is an integer number (1484088606).

Almost surely, 2^238724928000 is an apocalyptic number.

238724928000 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 238724928000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (474908353920).

238724928000 is an abundant number, since it is smaller than the sum of its proper divisors (711091779840).

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

238724928000 is a wasteful number, since it uses less digits than its factorization.

238724928000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10682 (or 10650 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 238724928000 in words is "two hundred thirty-eight billion, seven hundred twenty-four million, nine hundred twenty-eight thousand".