234208128 has 192 divisors, whose sum is σ = 784437120. Its totient is φ = 60149760.

The previous prime is 234208123. The next prime is 234208153. The reversal of 234208128 is 821802432.

It is a tau number, because it is divible by the number of its divisors (192).

It is a junction number, because it is equal to n+sod(n) for n = 234208095 and 234208104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (234208123) 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, 2631508 + ... + 2631596.

It is an arithmetic number, because the mean of its divisors is an integer number (4085610).

Almost surely, 2^234208128 is an apocalyptic number.

234208128 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 234208128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (392218560).

234208128 is an abundant number, since it is smaller than the sum of its proper divisors (550228992).

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

234208128 is an equidigital number, since it uses as much as digits as its factorization.

234208128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 213 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 30.

The square root of 234208128 is about 15303.8599052657. The cubic root of 234208128 is about 616.4066578890.

The spelling of 234208128 in words is "two hundred thirty-four million, two hundred eight thousand, one hundred twenty-eight".