238366128 has 320 divisors, whose sum is σ = 853945344. Its totient is φ = 55756800.

The previous prime is 238366081. The next prime is 238366199. The reversal of 238366128 is 821663832.

238366128 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (39).

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5813788 + ... + 5813828.

Almost surely, 2^238366128 is an apocalyptic number.

238366128 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 238366128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (426972672).

238366128 is an abundant number, since it is smaller than the sum of its proper divisors (615579216).

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

238366128 is a wasteful number, since it uses less digits than its factorization.

238366128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105 (or 77 counting only the distinct ones).

The product of its digits is 82944, while the sum is 39.

The square root of 238366128 is about 15439.1103370628. The cubic root of 238366128 is about 620.0330610188.

The spelling of 238366128 in words is "two hundred thirty-eight million, three hundred sixty-six thousand, one hundred twenty-eight".