238313088 has 96 divisors (see below), whose sum is σ = 738568740. Its totient is φ = 73322496.

The previous prime is 238313083. The next prime is 238313093. The reversal of 238313088 is 880313832.

238313088 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (238313083) and next prime (238313093).

It can be written as a sum of positive squares in 2 ways, for example, as 238146624 + 166464 = 15432^2 + 408^2 .

It is a tau number, because it is divible by the number of its divisors (96).

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

It is not an unprimeable number, because it can be changed into a prime (238313083) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7020 + ... + 22932.

Almost surely, 2^238313088 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 238313088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (369284370).

238313088 is an abundant number, since it is smaller than the sum of its proper divisors (500255652).

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

238313088 is a wasteful number, since it uses less digits than its factorization.

238313088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15946 (or 15931 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 238313088 is about 15437.3925259417. The cubic root of 238313088 is about 619.9870687556.

The spelling of 238313088 in words is "two hundred thirty-eight million, three hundred thirteen thousand, eighty-eight".