238629888 has 264 divisors, whose sum is σ = 822599232. Its totient is φ = 67682304.

The previous prime is 238629883. The next prime is 238629913. The reversal of 238629888 is 888926832.

238629888 is a `hidden beast` number, since 2 + 3 + 8 + 629 + 8 + 8 + 8 = 666.

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

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (238629883) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1741756 + ... + 1741892.

Almost surely, 2^238629888 is an apocalyptic number.

238629888 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 238629888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (411299616).

238629888 is an abundant number, since it is smaller than the sum of its proper divisors (583969344).

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

238629888 is an equidigital number, since it uses as much as digits as its factorization.

238629888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 179 (or 149 counting only the distinct ones).

The product of its digits is 2654208, while the sum is 54.

The square root of 238629888 is about 15447.6499183533. The cubic root of 238629888 is about 620.2616724101.

The spelling of 238629888 in words is "two hundred thirty-eight million, six hundred twenty-nine thousand, eight hundred eighty-eight".