28531536786064 has 135 divisors (see below), whose sum is σ = 60374686477833. Its totient is φ = 13055973869952.

The previous prime is 28531536786061. The next prime is 28531536786113. The reversal of 28531536786064 is 46068763513582.

The square root of 28531536786064 is 5341492.

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., 4220641536400 + 24310895249664 = 2054420^2 + 4930608^2 .

It is a super-2 number, since 2×28531536786064² (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 28531536785987 and 28531536786005.

It is not an unprimeable number, because it can be changed into a prime (28531536786061) 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, 38608303807 + ... + 38608304545.

Almost surely, 2^{28531536786064} is an apocalyptic number.

28531536786064 is the 5341492-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28531536786064

28531536786064 is an abundant number, since it is smaller than the sum of its proper divisors (31843149691769).

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

28531536786064 is an frugal number, since it uses more digits than its factorization.

28531536786064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1790 (or 893 counting only the distinct ones).

The product of its (nonzero) digits is 174182400, while the sum is 64.

The spelling of 28531536786064 in words is "twenty-eight trillion, five hundred thirty-one billion, five hundred thirty-six million, seven hundred eighty-six thousand, sixty-four".