4445392728100 has 243 divisors, whose sum is σ = 10298706981843. Its totient is φ = 1665407758080.

The previous prime is 4445392728071. The next prime is 4445392728131. The reversal of 4445392728100 is 18272935444.

The square root of 4445392728100 is 2108410.

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 925086170596 + 3520306557504 = 961814^2 + 1876248^2 .

It is a super-2 number, since 2×4445392728100² (a number of 26 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 43159152649 + ... + 43159152751.

Almost surely, 2^{4445392728100} is an apocalyptic number.

4445392728100 is the 2108410-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4445392728100

4445392728100 is an abundant number, since it is smaller than the sum of its proper divisors (5853314253743).

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

4445392728100 is a wasteful number, since it uses less digits than its factorization.

4445392728100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 444 (or 222 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 49.

Multiplying 4445392728100 by its sum of digits (49), we get a square (217824243676900 = 14758870²).

The spelling of 4445392728100 in words is "four trillion, four hundred forty-five billion, three hundred ninety-two million, seven hundred twenty-eight thousand, one hundred".