8216006128 has 40 divisors (see below), whose sum is σ = 17527985280. Its totient is φ = 3699637440.

The previous prime is 8216006107. The next prime is 8216006131.

8216006128 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 8216006093 and 8216006102.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 199308 + ... + 236971.

It is an arithmetic number, because the mean of its divisors is an integer number (438199632).

Almost surely, 2^8216006128 is an apocalyptic number.

8216006128 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

8216006128 is an abundant number, since it is smaller than the sum of its proper divisors (9311979152).

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

8216006128 is a wasteful number, since it uses less digits than its factorization.

8216006128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 436405 (or 436399 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 34.

The square root of 8216006128 is about 90642.1873522478. The cubic root of 8216006128 is about 2017.8408887848.

It can be divided in two parts, 821600 and 6128, that added together give a palindrome (827728).

The spelling of 8216006128 in words is "eight billion, two hundred sixteen million, six thousand, one hundred twenty-eight".