28315595137600 has 189 divisors, whose sum is σ = 70218237433323. Its totient is φ = 11238458880000.

The previous prime is 28315595137597. The next prime is 28315595137601. The reversal of 28315595137600 is 673159551382.

It is a happy number.

The square root of 28315595137600 is 5321240.

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 6392523382336 + 21923071755264 = 2528344^2 + 4682208^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (28315595137601) 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, 32140289160 + ... + 32140290040.

Almost surely, 2^{28315595137600} is an apocalyptic number.

28315595137600 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

28315595137600 is the 5321240-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28315595137600

28315595137600 is an abundant number, since it is smaller than the sum of its proper divisors (41902642295723).

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

28315595137600 is an frugal number, since it uses more digits than its factorization.

28315595137600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2086 (or 1039 counting only the distinct ones).

The product of its (nonzero) digits is 6804000, while the sum is 55.

The spelling of 28315595137600 in words is "twenty-eight trillion, three hundred fifteen billion, five hundred ninety-five million, one hundred thirty-seven thousand, six hundred".