8028160000 has 285 divisors, whose sum is σ = 23339684379. Its totient is φ = 2752512000.

The previous prime is 8028159983. The next prime is 8028160037. The reversal of 8028160000 is 618208.

The square root of 8028160000 is 89600.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 2 ways, for example, as 629407744 + 7398752256 = 25088^2 + 86016^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 1146879997 + ... + 1146880003.

Almost surely, 2^8028160000 is an apocalyptic number.

8028160000 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

8028160000 is the 89600-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8028160000

8028160000 is an abundant number, since it is smaller than the sum of its proper divisors (15311524379).

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

8028160000 is an frugal number, since it uses more digits than its factorization.

8028160000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70 (or 14 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 25.

The cubic root of 8028160000 is about 2002.3439186163.

Multiplying 8028160000 by its sum of digits (25), we get a square (200704000000 = 448000²).

8028160000 divided by its sum of digits (25) gives a square (321126400 = 17920²).

Adding to 8028160000 its reverse (618208), we get a palindrome (8028778208).

The spelling of 8028160000 in words is "eight billion, twenty-eight million, one hundred sixty thousand".