28866010000 has 75 divisors (see below), whose sum is σ = 69928655511. Its totient is φ = 11539608000.

The previous prime is 28866009971. The next prime is 28866010027. The reversal of 28866010000 is 1066882.

The square root of 28866010000 is 169900.

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 2263095184 + 26602914816 = 47572^2 + 163104^2 .

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, 16989151 + ... + 16990849.

Almost surely, 2^28866010000 is an apocalyptic number.

28866010000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

28866010000 is the 169900-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28866010000

28866010000 is an abundant number, since it is smaller than the sum of its proper divisors (41062645511).

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

28866010000 is an frugal number, since it uses more digits than its factorization.

28866010000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3426 (or 1706 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 31.

Adding to 28866010000 its reverse (1066882), we get a palindrome (28867076882).

The spelling of 28866010000 in words is "twenty-eight billion, eight hundred sixty-six million, ten thousand".