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28728555025 = 5210923112
BaseRepresentation
bin11010110000010110…
…101111011000010001
32202011010211210202111
4122300112233120101
5432314002230100
621110412345321
72034630455122
oct326026573021
982133753674
1028728555025
111120257a665
125699175241
13292ab474b1
14156763c049
15b321c96ba
hex6b05af611

28728555025 has 27 divisors (see below), whose sum is σ = 36069203793. Its totient is φ = 22698770400.

The previous prime is 28728555019. The next prime is 28728555029. The reversal of 28728555025 is 52055582782.

The square root of 28728555025 is 169495.

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

It can be written as a sum of positive squares in 4 ways, for example, as 105329169 + 28623225856 = 10263^2 + 169184^2 .

It is not a de Polignac number, because 28728555025 - 25 = 28728554993 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 28728555025.

It is not an unprimeable number, because it can be changed into a prime (28728555029) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 92374620 + ... + 92374930.

Almost surely, 228728555025 is an apocalyptic number.

28728555025 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

28728555025 is the 169495-th square number.

28728555025 is the 84748-th centered octagonal number.

It is an amenable number.

28728555025 is a deficient number, since it is larger than the sum of its proper divisors (7340648768).

28728555025 is an frugal number, since it uses more digits than its factorization.

28728555025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 850 (or 425 counting only the distinct ones).

The product of its (nonzero) digits is 2240000, while the sum is 49.

Multiplying 28728555025 by its sum of digits (49), we get a square (1407699196225 = 11864652).

The spelling of 28728555025 in words is "twenty-eight billion, seven hundred twenty-eight million, five hundred fifty-five thousand, twenty-five".

Divisors: 1 5 25 109 311 545 1555 2725 7775 11881 33899 59405 96721 169495 297025 483605 847475 2418025 3694991 10542589 18474955 52712945 92374775 263564725 1149142201 5745711005 28728555025