234653328 has 320 divisors, whose sum is σ = 853278720. Its totient is φ = 60092928.

The previous prime is 234653327. The next prime is 234653339. The reversal of 234653328 is 823356432.

It is a happy number.

234653328 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 (36).

It is a junction number, because it is equal to n+sod(n) for n = 234653292 and 234653301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (234653327) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1847601 + ... + 1847727.

It is an arithmetic number, because the mean of its divisors is an integer number (2666496).

Almost surely, 2^234653328 is an apocalyptic number.

234653328 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 234653328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (426639360).

234653328 is an abundant number, since it is smaller than the sum of its proper divisors (618625392).

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

234653328 is a wasteful number, since it uses less digits than its factorization.

234653328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 211 (or 199 counting only the distinct ones).

The product of its digits is 103680, while the sum is 36.

The square root of 234653328 is about 15318.3983496970. The cubic root of 234653328 is about 616.7969810145.

The spelling of 234653328 in words is "two hundred thirty-four million, six hundred fifty-three thousand, three hundred twenty-eight".