239005728 has 240 divisors, whose sum is σ = 779924376. Its totient is φ = 71331840.

The previous prime is 239005709. The next prime is 239005751. The reversal of 239005728 is 827500932.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 156050064 + 82955664 = 12492^2 + 9108^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 239005692 and 239005701.

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 1381450 + ... + 1381622.

Almost surely, 2^239005728 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 239005728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (389962188).

239005728 is an abundant number, since it is smaller than the sum of its proper divisors (540918648).

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

239005728 is a wasteful number, since it uses less digits than its factorization.

239005728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 249 (or 232 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 239005728 is about 15459.8100893898. The cubic root of 239005728 is about 620.5871371832.

The spelling of 239005728 in words is "two hundred thirty-nine million, five thousand, seven hundred twenty-eight".