234428824432 has 80 divisors (see below), whose sum is σ = 517477736448. Its totient is φ = 101839415040.

The previous prime is 234428824417. The next prime is 234428824489.

It is a happy number.

234428824432 is nontrivially palindromic in base 10.

234428824432 is digitally balanced in base 3, 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 (46).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4886353 + ... + 4934095.

Almost surely, 2^234428824432 is an apocalyptic number.

234428824432 is a gapful number since it is divisible by the number (22) 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 234428824432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258738868224).

234428824432 is an abundant number, since it is smaller than the sum of its proper divisors (283048912016).

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

234428824432 is a wasteful number, since it uses less digits than its factorization.

234428824432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48998 (or 48992 counting only the distinct ones).

The product of its digits is 2359296, while the sum is 46.

The spelling of 234428824432 in words is "two hundred thirty-four billion, four hundred twenty-eight million, eight hundred twenty-four thousand, four hundred thirty-two".