28297968400 has 135 divisors (see below), whose sum is σ = 73731793791. Its totient is φ = 10432331520.

The previous prime is 28297968353. The next prime is 28297968403. The reversal of 28297968400 is 486979282.

The square root of 28297968400 is 168220.

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 7293843216 + 21004125184 = 85404^2 + 144928^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (28297968403) 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, 43736877 + ... + 43737523.

Almost surely, 2^28297968400 is an apocalyptic number.

28297968400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

28297968400 is the 168220-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28297968400

28297968400 is an abundant number, since it is smaller than the sum of its proper divisors (45433825391).

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

28297968400 is an equidigital number, since it uses as much as digits as its factorization.

28297968400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1338 (or 667 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 55.

The spelling of 28297968400 in words is "twenty-eight billion, two hundred ninety-seven million, nine hundred sixty-eight thousand, four hundred".