28711593222400 has 243 divisors, whose sum is σ = 78126346121383. Its totient is φ = 10438864691200.

The previous prime is 28711593222373. The next prime is 28711593222401. The reversal of 28711593222400 is 422239511782.

It is a happy number.

The square root of 28711593222400 is 5358320.

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 5053719810304 + 23657873412096 = 2248048^2 + 4863936^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (28711593222401) 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, 4715318556 + ... + 4715324644.

Almost surely, 2^{28711593222400} is an apocalyptic number.

28711593222400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

28711593222400 is the 5358320-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28711593222400

28711593222400 is an abundant number, since it is smaller than the sum of its proper divisors (49414752898983).

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

28711593222400 is an frugal number, since it uses more digits than its factorization.

28711593222400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12226 (or 6107 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 46.

The spelling of 28711593222400 in words is "twenty-eight trillion, seven hundred eleven billion, five hundred ninety-three million, two hundred twenty-two thousand, four hundred".