238620852288 has 1568 divisors, whose sum is σ = 945247385600. Its totient is φ = 59256852480.

The previous prime is 238620852287. The next prime is 238620852307. The reversal of 238620852288 is 882258026832.

238620852288 is a `hidden beast` number, since 2 + 3 + 8 + 620 + 8 + 5 + 2 + 2 + 8 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (1568).

It is a super-2 number, since 2×238620852288² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a taxicab number since it can be written as a sum of two cubes in more than one way. Here 238620852288 = 3528³ + 5796³ = 4704³ + 5124³.

It is not an unprimeable number, because it can be changed into a prime (238620852287) by changing a digit.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 6449212206 + ... + 6449212242.

Almost surely, 2^238620852288 is an apocalyptic number.

238620852288 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 238620852288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (472623692800).

238620852288 is an abundant number, since it is smaller than the sum of its proper divisors (706626533312).

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

238620852288 is an equidigital number, since it uses as much as digits as its factorization.

238620852288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 5898240, while the sum is 54.

The spelling of 238620852288 in words is "two hundred thirty-eight billion, six hundred twenty million, eight hundred fifty-two thousand, two hundred eighty-eight".