238728960 has 432 divisors, whose sum is σ = 929807424. Its totient is φ = 56229888.

The previous prime is 238728949. The next prime is 238728967. The reversal of 238728960 is 69827832.

238728960 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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 (238728967) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4504294 + ... + 4504346.

It is an arithmetic number, because the mean of its divisors is an integer number (2152332).

Almost surely, 2^238728960 is an apocalyptic number.

238728960 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 238728960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (464903712).

238728960 is an abundant number, since it is smaller than the sum of its proper divisors (691078464).

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

238728960 is a wasteful number, since it uses less digits than its factorization.

238728960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120 (or 103 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 238728960 is about 15450.8562869506. The cubic root of 238728960 is about 620.3474985720.

The spelling of 238728960 in words is "two hundred thirty-eight million, seven hundred twenty-eight thousand, nine hundred sixty".