28244590510096 has 135 divisors (see below), whose sum is σ = 58221309133533. Its totient is φ = 13272804716160.

The previous prime is 28244590510051. The next prime is 28244590510099. The reversal of 28244590510096 is 69001509544282.

The square root of 28244590510096 is 5314564.

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., 918461556496 + 27326128953600 = 958364^2 + 5227440^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (28244590510099) 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, 29825332695 + ... + 29825333641.

Almost surely, 2^{28244590510096} is an apocalyptic number.

28244590510096 is the 5314564-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28244590510096

28244590510096 is an abundant number, since it is smaller than the sum of its proper divisors (29976718623437).

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

28244590510096 is an frugal number, since it uses more digits than its factorization.

28244590510096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2070 (or 1033 counting only the distinct ones).

The product of its (nonzero) digits is 6220800, while the sum is 55.

The spelling of 28244590510096 in words is "twenty-eight trillion, two hundred forty-four billion, five hundred ninety million, five hundred ten thousand, ninety-six".