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28955446569 = 3472372732
BaseRepresentation
bin11010111101111000…
…010000110100101001
32202201221210002110000
4122331320100310221
5433300043242234
621145115413213
72043354143400
oct327570206451
982657702400
1028955446569
111130965a635
125741154209
132965b5894a
141589820637
15b47096899
hex6bde10d29

28955446569 has 135 divisors (see below), whose sum is σ = 52431138837. Its totient is φ = 15878249856.

The previous prime is 28955446529. The next prime is 28955446573. The reversal of 28955446569 is 96564455982.

It is a happy number.

The square root of 28955446569 is 170163.

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

28955446569 is a `hidden beast` number, since 2 + 89 + 5 + 544 + 6 + 5 + 6 + 9 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 7222790169 + 21732656400 = 84987^2 + 147420^2 .

It is not a de Polignac number, because 28955446569 - 225 = 28921892137 is a prime.

It is a super-2 number, since 2×289554465692 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

Its product of digits (93312000) is a multiple of the sum of its prime divisors (120).

It is not an unprimeable number, because it can be changed into a prime (28955446519) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 396649917 + ... + 396649989.

Almost surely, 228955446569 is an apocalyptic number.

28955446569 is the 170163-rd square number.

28955446569 is the 85082-nd centered octagonal number.

It is an amenable number.

28955446569 is a deficient number, since it is larger than the sum of its proper divisors (23475692268).

28955446569 is an frugal number, since it uses more digits than its factorization.

28955446569 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 246 (or 120 counting only the distinct ones).

The product of its digits is 93312000, while the sum is 63.

The spelling of 28955446569 in words is "twenty-eight billion, nine hundred fifty-five million, four hundred forty-six thousand, five hundred sixty-nine".

Divisors: 1 3 7 9 21 27 37 49 63 73 81 111 147 189 219 259 333 441 511 567 657 777 999 1323 1369 1533 1813 1971 2331 2701 2997 3577 3969 4107 4599 5329 5439 5913 6993 8103 9583 10731 12321 13797 15987 16317 18907 20979 24309 28749 32193 36963 37303 41391 47961 48951 56721 67081 72927 86247 96579 99937 110889 111909 132349 143883 146853 170163 197173 201243 218781 258741 261121 289737 299811 335727 397047 431649 510489 591519 603729 699559 776223 783363 899433 1007181 1191141 1380211 1531467 1774557 1811187 2098677 2350089 2698299 3021543 3573423 4140633 4896913 5323671 5433561 6296031 7050267 7295401 8094897 9661477 10720269 12421899 14690739 15971013 18888093 21150801 21886203 28984431 37265697 44072217 51067807 56664279 65658609 86953293 111797091 132216651 153203421 196975827 260859879 357474649 396649953 459610263 590927481 782579637 1072423947 1378830789 3217271841 4136492367 9651815523 28955446569