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28769587456 = 28106012
BaseRepresentation
bin11010110010110011…
…010001000100000000
32202021000001110200011
4122302303101010000
5432410003244311
621114440034304
72035636313161
oct326263210400
982230043604
1028769587456
1111223755965
1256aaa62994
1329364b2c3c
14156cc7d768
15b35ad2321
hex6b2cd1100

28769587456 has 27 divisors (see below), whose sum is σ = 57432211333. Its totient is φ = 14383436800.

The previous prime is 28769587453. The next prime is 28769587507. The reversal of 28769587456 is 65478596782.

The square root of 28769587456 is 169616.

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., 24591257856 + 4178329600 = 156816^2 + 64640^2 .

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 28769587391 and 28769587400.

It is not an unprimeable number, because it can be changed into a prime (28769587453) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 2708556 + ... + 2719156.

Almost surely, 228769587456 is an apocalyptic number.

28769587456 is the 169616-th square number.

It is an amenable number.

28769587456 is a deficient number, since it is larger than the sum of its proper divisors (28662623877).

28769587456 is an frugal number, since it uses more digits than its factorization.

28769587456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21218 (or 10603 counting only the distinct ones).

The product of its digits is 203212800, while the sum is 67.

It can be divided in two parts, 28769 and 587456, that added together give a square (616225 = 7852).

The spelling of 28769587456 in words is "twenty-eight billion, seven hundred sixty-nine million, five hundred eighty-seven thousand, four hundred fifty-six".

Divisors: 1 2 4 8 16 32 64 128 256 10601 21202 42404 84808 169616 339232 678464 1356928 2713856 112381201 224762402 449524804 899049608 1798099216 3596198432 7192396864 14384793728 28769587456