28517752384 has 189 divisors, whose sum is σ = 66304657713. Its totient is φ = 12158784000.

The previous prime is 28517752379. The next prime is 28517752391. The reversal of 28517752384 is 48325771582.

It is a happy number.

The square root of 28517752384 is 168872.

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., 27399518784 + 1118233600 = 165528^2 + 33440^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 282353934 + ... + 282354034.

Almost surely, 2^28517752384 is an apocalyptic number.

28517752384 is the 168872-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28517752384

28517752384 is an abundant number, since it is smaller than the sum of its proper divisors (37786905329).

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

28517752384 is a wasteful number, since it uses less digits than its factorization.

28517752384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 274 (or 133 counting only the distinct ones).

The product of its digits is 3763200, while the sum is 52.

It can be divided in two parts, 285177 and 52384, that added together give a square (337561 = 581²).

The spelling of 28517752384 in words is "twenty-eight billion, five hundred seventeen million, seven hundred fifty-two thousand, three hundred eighty-four".