6403235328 has 600 divisors, whose sum is σ = 23368249872. Its totient is φ = 1737179136.

The previous prime is 6403235327. The next prime is 6403235383. The reversal of 6403235328 is 8235323046.

It is a happy number.

6403235328 is a `hidden beast` number, since 6 + 4 + 0 + 323 + 5 + 328 = 666.

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 = 6403235292 and 6403235301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6403235327) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 46738876 + ... + 46739012.

Almost surely, 2^6403235328 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6403235328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11684124936).

6403235328 is an abundant number, since it is smaller than the sum of its proper divisors (16965014544).

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

6403235328 is a wasteful number, since it uses less digits than its factorization.

6403235328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 204 (or 172 counting only the distinct ones).

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

The square root of 6403235328 is about 80020.2182451410. The cubic root of 6403235328 is about 1856.9483362066.

The spelling of 6403235328 in words is "six billion, four hundred three million, two hundred thirty-five thousand, three hundred twenty-eight".