28765287235584 has 135 divisors (see below), whose sum is σ = 83103132641347. Its totient is φ = 9587742572544.

The previous prime is 28765287235549. The next prime is 28765287235589. The reversal of 28765287235584 is 48553278256782.

The square root of 28765287235584 is 5363328.

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

28765287235584 is a `hidden beast` number, since 2 + 8 + 7 + 6 + 5 + 2 + 8 + 7 + 2 + 35 + 584 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (28765287235589) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 2059510969 + ... + 2059524935.

Almost surely, 2^{28765287235584} is an apocalyptic number.

28765287235584 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

28765287235584 is the 5363328-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28765287235584

28765287235584 is an abundant number, since it is smaller than the sum of its proper divisors (54337845405763).

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

28765287235584 is an frugal number, since it uses more digits than its factorization.

28765287235584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27968 (or 13972 counting only the distinct ones).

The product of its digits is 1806336000, while the sum is 72.

The spelling of 28765287235584 in words is "twenty-eight trillion, seven hundred sixty-five billion, two hundred eighty-seven million, two hundred thirty-five thousand, five hundred eighty-four".