8232772328 has 32 divisors (see below), whose sum is σ = 16843248000. Its totient is φ = 3741394560.

The previous prime is 8232772211. The next prime is 8232772337.

8232772328 is nontrivially palindromic in base 10.

It is a Smith number, since the sum of its digits (44) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 805313 + ... + 815471.

It is an arithmetic number, because the mean of its divisors is an integer number (526351500).

Almost surely, 2^8232772328 is an apocalyptic number.

8232772328 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

8232772328 is an abundant number, since it is smaller than the sum of its proper divisors (8610475672).

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

8232772328 is a wasteful number, since it uses less digits than its factorization.

8232772328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19385 (or 19381 counting only the distinct ones).

The product of its digits is 451584, while the sum is 44.

The square root of 8232772328 is about 90734.6258492313. The cubic root of 8232772328 is about 2019.2125421318.

The spelling of 8232772328 in words is "eight billion, two hundred thirty-two million, seven hundred seventy-two thousand, three hundred twenty-eight".