8470728000 has 588 divisors, whose sum is σ = 35351363892. Its totient is φ = 1936166400.

The previous prime is 8470727987. The next prime is 8470728011. The reversal of 8470728000 is 8270748.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 271063296 + 8199664704 = 16464^2 + 90552^2 .

It is a tau number, because it is divible by the number of its divisors (588).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 1210103997 + ... + 1210104003.

Almost surely, 2^8470728000 is an apocalyptic number.

8470728000 is a gapful number since it is divisible by the number (80) 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 8470728000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17675681946).

8470728000 is an abundant number, since it is smaller than the sum of its proper divisors (26880635892).

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

8470728000 is an frugal number, since it uses more digits than its factorization.

8470728000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 25088, while the sum is 36.

The square root of 8470728000 is about 92036.5579538913. The cubic root of 8470728000 is about 2038.4821465909.

Adding to 8470728000 its reverse (8270748), we get a palindrome (8478998748).

The spelling of 8470728000 in words is "eight billion, four hundred seventy million, seven hundred twenty-eight thousand".