238728 has 64 divisors (see below), whose sum is σ = 720000. Its totient is φ = 65856.

The previous prime is 238727. The next prime is 238729. The reversal of 238728 is 827832.

It is an interprime number because it is at equal distance from previous prime (238727) and next prime (238729).

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

It is a nialpdrome in base 8 and base 14.

It is a junction number, because it is equal to n+sod(n) for n = 238695 and 238704.

It is not an unprimeable number, because it can be changed into a prime (238723) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8218 + ... + 8246.

It is an arithmetic number, because the mean of its divisors is an integer number (11250).

238728 is a Friedman number, since it can be written as 87*(22-8)^3, using all its digits and the basic arithmetic operations.

2²³⁸⁷²⁸ is an apocalyptic number.

238728 is a gapful number since it is divisible by the number (28) 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 238728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (360000).

238728 is an abundant number, since it is smaller than the sum of its proper divisors (481272).

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

238728 is a wasteful number, since it uses less digits than its factorization.

238728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59 (or 41 counting only the distinct ones).

The product of its digits is 5376, while the sum is 30.

The square root of 238728 is about 488.5979942652. The cubic root of 238728 is about 62.0346667037.

It can be divided in two parts, 2387 and 28, that added together give a triangular number (2415 = T₆₉).

The spelling of 238728 in words is "two hundred thirty-eight thousand, seven hundred twenty-eight".