9966028900 has 81 divisors (see below), whose sum is σ = 22102211019. Its totient is φ = 3900557760.

The previous prime is 9966028879. The next prime is 9966028937. The reversal of 9966028900 is 98206699.

It is a happy number.

The square root of 9966028900 is 99830.

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

It can be written as a sum of positive squares in 4 ways, for example, as 2974393444 + 6991635456 = 54538^2 + 83616^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 66886026 + ... + 66886174.

Almost surely, 2^9966028900 is an apocalyptic number.

9966028900 is the 99830-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9966028900

9966028900 is an abundant number, since it is smaller than the sum of its proper divisors (12136182119).

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

9966028900 is a wasteful number, since it uses less digits than its factorization.

9966028900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 446 (or 223 counting only the distinct ones).

The product of its (nonzero) digits is 419904, while the sum is 49.

The cubic root of 9966028900 is about 2151.9923050470.

Multiplying 9966028900 by its sum of digits (49), we get a square (488335416100 = 698810²).

The spelling of 9966028900 in words is "nine billion, nine hundred sixty-six million, twenty-eight thousand, nine hundred".