8128084000 has 48 divisors (see below), whose sum is σ = 19970712216. Its totient is φ = 3251232000.

The previous prime is 8128083983. The next prime is 8128084001. The reversal of 8128084000 is 4808218.

It can be written as a sum of positive squares in 4 ways, for example, as 2000951824 + 6127132176 = 44732^2 + 78276^2 .

It is a super-2 number, since 2×8128084000² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (8128084001) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1012011 + ... + 1020010.

Almost surely, 2^8128084000 is an apocalyptic number.

8128084000 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

8128084000 is an abundant number, since it is smaller than the sum of its proper divisors (11842628216).

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

8128084000 is a wasteful number, since it uses less digits than its factorization.

8128084000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2032046 (or 2032028 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 31.

The square root of 8128084000 is about 90155.8872176410. The cubic root of 8128084000 is about 2010.6172044165.

The spelling of 8128084000 in words is "eight billion, one hundred twenty-eight million, eighty-four thousand".