28288548864 has 255 divisors, whose sum is σ = 85689370173. Its totient is φ = 9300344832.

The previous prime is 28288548859. The next prime is 28288548881. The reversal of 28288548864 is 46884588282.

The square root of 28288548864 is 168192.

It is a perfect power (a square), and thus also a powerful number.

28288548864 is a `hidden beast` number, since 2 + 8 + 2 + 8 + 8 + 548 + 86 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 16057958400 + 12230590464 = 126720^2 + 110592^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 387514332 + ... + 387514404.

Almost surely, 2^28288548864 is an apocalyptic number.

28288548864 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

28288548864 is the 168192-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28288548864

28288548864 is an abundant number, since it is smaller than the sum of its proper divisors (57400821309).

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

28288548864 is an frugal number, since it uses more digits than its factorization.

28288548864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 190 (or 78 counting only the distinct ones).

The product of its digits is 62914560, while the sum is 63.

The spelling of 28288548864 in words is "twenty-eight billion, two hundred eighty-eight million, five hundred forty-eight thousand, eight hundred sixty-four".