8201662128 has 480 divisors, whose sum is σ = 27415245312. Its totient is φ = 2351462400.

The previous prime is 8201662109. The next prime is 8201662129. The reversal of 8201662128 is 8212661028.

8201662128 is a `hidden beast` number, since 8 + 2 + 0 + 1 + 6 + 621 + 28 = 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 = 8201662092 and 8201662101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8201662129) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 112351500 + ... + 112351572.

Almost surely, 2^8201662128 is an apocalyptic number.

8201662128 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 8201662128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13707622656).

8201662128 is an abundant number, since it is smaller than the sum of its proper divisors (19213583184).

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

8201662128 is a wasteful number, since it uses less digits than its factorization.

8201662128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 215 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 8201662128 is about 90563.0284829301. The cubic root of 8201662128 is about 2016.6659152180.

The spelling of 8201662128 in words is "eight billion, two hundred one million, six hundred sixty-two thousand, one hundred twenty-eight".