8992728900 has 243 divisors, whose sum is σ = 29462978181. Its totient is φ = 2294127360.

The previous prime is 8992728893. The next prime is 8992728907. The reversal of 8992728900 is 98272998.

8992728900 = 1³ + 2³ + ... + 435³.

The square root of 8992728900 is 94830.

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

It is an interprime number because it is at equal distance from previous prime (8992728893) and next prime (8992728907).

It can be written as a sum of positive squares in 13 ways, for example, as 3735898884 + 5256830016 = 61122^2 + 72504^2 .

It is not an unprimeable number, because it can be changed into a prime (8992728907) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 82502046 + ... + 82502154.

Almost surely, 2^8992728900 is an apocalyptic number.

8992728900 is the 94830-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8992728900

8992728900 is an abundant number, since it is smaller than the sum of its proper divisors (20470249281).

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

8992728900 is a wasteful number, since it uses less digits than its factorization.

8992728900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 296 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 54.

The cubic root of 8992728900 is about 2079.5235055578.

The spelling of 8992728900 in words is "eight billion, nine hundred ninety-two million, seven hundred twenty-eight thousand, nine hundred".