8235665328 has 80 divisors (see below), whose sum is σ = 23312186496. Its totient is φ = 2484625920.

The previous prime is 8235665323. The next prime is 8235665359.

8235665328 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (8235665323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 85500 + ... + 154212.

Almost surely, 2^8235665328 is an apocalyptic number.

8235665328 is a gapful number since it is divisible by the number (88) 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 8235665328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11656093248).

8235665328 is an abundant number, since it is smaller than the sum of its proper divisors (15076521168).

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

8235665328 is a wasteful number, since it uses less digits than its factorization.

8235665328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68962 (or 68956 counting only the distinct ones).

The product of its digits is 2073600, while the sum is 48.

The square root of 8235665328 is about 90750.5665436861. The cubic root of 8235665328 is about 2019.4490318398.

The spelling of 8235665328 in words is "eight billion, two hundred thirty-five million, six hundred sixty-five thousand, three hundred twenty-eight".