238307328 has 144 divisors (see below), whose sum is σ = 787026240. Its totient is φ = 68050944.

The previous prime is 238307287. The next prime is 238307351. The reversal of 238307328 is 823703832.

238307328 is a `hidden beast` number, since 23 + 8 + 307 + 328 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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 = 238307292 and 238307301.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 128101 + ... + 129947.

It is an arithmetic number, because the mean of its divisors is an integer number (5465460).

Almost surely, 2^238307328 is an apocalyptic number.

238307328 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 238307328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (393513120).

238307328 is an abundant number, since it is smaller than the sum of its proper divisors (548718912).

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

238307328 is a wasteful number, since it uses less digits than its factorization.

238307328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1882 (or 1859 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 238307328 is about 15437.2059648111. The cubic root of 238307328 is about 619.9820737099.

The spelling of 238307328 in words is "two hundred thirty-eight million, three hundred seven thousand, three hundred twenty-eight".