28031800329 has 99 divisors (see below), whose sum is σ = 46405963317. Its totient is φ = 16924860576.

The previous prime is 28031800273. The next prime is 28031800369. The reversal of 28031800329 is 92300813082.

It is a happy number.

The square root of 28031800329 is 167427.

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 727542729 + 27304257600 = 26973^2 + 165240^2 .

It is not a de Polignac number, because 28031800329 - 2¹¹ = 28031798281 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 28031800293 and 28031800302.

It is not an unprimeable number, because it can be changed into a prime (28031800369) by changing a digit.

It is a polite number, since it can be written in 98 ways as a sum of consecutive naturals, for example, 528901867 + ... + 528901919.

Almost surely, 2^28031800329 is an apocalyptic number.

28031800329 is the 167427-th square number.

28031800329 is the 83714-th centered octagonal number.

It is an amenable number.

28031800329 is a deficient number, since it is larger than the sum of its proper divisors (18374162988).

28031800329 is an frugal number, since it uses more digits than its factorization.

28031800329 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

Multiplying 28031800329 by its sum of digits (36), we get a square (1009144811844 = 1004562²).

Multiplying 28031800329 by its product of nonzero digits (20736), we get a square (581267411622144 = 24109488²).

The spelling of 28031800329 in words is "twenty-eight billion, thirty-one million, eight hundred thousand, three hundred twenty-nine".