28301332900 has 27 divisors (see below), whose sum is σ = 61417543201. Its totient is φ = 11319860240.

The previous prime is 28301332861. The next prime is 28301332901. The reversal of 28301332900 is 923310382.

The square root of 28301332900 is 168230.

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

It can be written as a sum of positive squares in only one way, i.e., 10188479844 + 18112853056 = 100938^2 + 134584^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (28301332901) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1673889 + ... + 1690711.

Almost surely, 2^28301332900 is an apocalyptic number.

28301332900 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

28301332900 is the 168230-th square number.

It is an amenable number.

28301332900 is an abundant number, since it is smaller than the sum of its proper divisors (33116210301).

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

28301332900 is an frugal number, since it uses more digits than its factorization.

28301332900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33660 (or 16830 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 31.

It can be divided in two parts, 28301 and 332900, that added together give a square (361201 = 601²).

The spelling of 28301332900 in words is "twenty-eight billion, three hundred one million, three hundred thirty-two thousand, nine hundred".