27999328900 has 81 divisors (see below), whose sum is σ = 63035157549. Its totient is φ = 10794792960.

The previous prime is 27999328879. The next prime is 27999328909. The reversal of 27999328900 is 982399972.

The square root of 27999328900 is 167330.

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

It can be written as a sum of positive squares in 13 ways, for example, as 1113823876 + 26885505024 = 33374^2 + 163968^2 .

It is a Harshad number since it is a multiple of its sum of digits (58).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (27999328909) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 48525412 + ... + 48525988.

Almost surely, 2^27999328900 is an apocalyptic number.

27999328900 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

27999328900 is the 167330-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27999328900

27999328900 is an abundant number, since it is smaller than the sum of its proper divisors (35035828649).

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

27999328900 is an equidigital number, since it uses as much as digits as its factorization.

27999328900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1226 (or 613 counting only the distinct ones).

The product of its (nonzero) digits is 4408992, while the sum is 58.

The spelling of 27999328900 in words is "twenty-seven billion, nine hundred ninety-nine million, three hundred twenty-eight thousand, nine hundred".