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28558634049 = 361125692
BaseRepresentation
bin11010100110001110…
…100010110001000001
32201201022002221000000
4122212032202301001
5431442002242144
621041502350213
72030465245521
oct324616426101
981638087000
1028558634049
1111125671500
12565028b369
13290189213a
14154cc49681
15b22312769
hex6a63a2c41

28558634049 has 63 divisors (see below), whose sum is σ = 47147673139. Its totient is φ = 17277844320.

The previous prime is 28558634047. The next prime is 28558634059. The reversal of 28558634049 is 94043685582.

The square root of 28558634049 is 168993.

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

28558634049 is a `hidden beast` number, since 2 + 8 + 558 + 6 + 3 + 40 + 49 = 666.

It can be written as a sum of positive squares in only one way, i.e., 4706920449 + 23851713600 = 68607^2 + 154440^2 .

It is not a de Polignac number, because 28558634049 - 21 = 28558634047 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 28558633986 and 28558634004.

It is not an unprimeable number, because it can be changed into a prime (28558634047) by changing a digit.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 50190637 + ... + 50191205.

Almost surely, 228558634049 is an apocalyptic number.

28558634049 is the 168993-rd square number.

28558634049 is the 84497-th centered octagonal number.

It is an amenable number.

28558634049 is a deficient number, since it is larger than the sum of its proper divisors (18589039090).

28558634049 is an frugal number, since it uses more digits than its factorization.

28558634049 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1178 (or 583 counting only the distinct ones).

The product of its (nonzero) digits is 8294400, while the sum is 54.

The spelling of 28558634049 in words is "twenty-eight billion, five hundred fifty-eight million, six hundred thirty-four thousand, forty-nine".

Divisors: 1 3 9 11 27 33 81 99 121 243 297 363 569 729 891 1089 1707 2673 3267 5121 6259 8019 9801 15363 18777 29403 46089 56331 68849 88209 138267 168993 206547 323761 414801 506979 619641 971283 1520937 1858923 2913849 3561371 4562811 5576769 8741547 10684113 16730307 26224641 32052339 39175081 50190921 78673923 96157017 117525243 236021769 288471051 352575729 865413153 1057727187 2596239459 3173181561 9519544683 28558634049