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28755161728 = 274126920369
BaseRepresentation
bin11010110001111100…
…001111001010000000
32202012222220120021221
4122301330033022000
5432342310133403
621113202524424
72035402561516
oct326174171200
982188816257
1028755161728
11112165a2677
1256a6066714
132933501ac7
14156ada64b6
15b346d2dbd
hex6b1f0f280

28755161728 has 64 divisors (see below), whose sum is σ = 58903929000. Its totient is φ = 13974077440.

The previous prime is 28755161723. The next prime is 28755161737. The reversal of 28755161728 is 82716155782.

It can be written as a sum of positive squares in 4 ways, for example, as 13122160704 + 15633001024 = 114552^2 + 125032^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (28755161723) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1401528 + ... + 1421896.

Almost surely, 228755161728 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28755161728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29451964500).

28755161728 is an abundant number, since it is smaller than the sum of its proper divisors (30148767272).

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

28755161728 is a wasteful number, since it uses less digits than its factorization.

28755161728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20693 (or 20681 counting only the distinct ones).

The product of its digits is 1881600, while the sum is 52.

The spelling of 28755161728 in words is "twenty-eight billion, seven hundred fifty-five million, one hundred sixty-one thousand, seven hundred twenty-eight".

Divisors: 1 2 4 8 16 32 41 64 82 128 164 269 328 538 656 1076 1312 2152 2624 4304 5248 8608 11029 17216 20369 22058 34432 40738 44116 81476 88232 162952 176464 325904 352928 651808 705856 835129 1303616 1411712 1670258 2607232 3340516 5479261 6681032 10958522 13362064 21917044 26724128 43834088 53448256 87668176 106896512 175336352 224649701 350672704 449299402 701345408 898598804 1797197608 3594395216 7188790432 14377580864 28755161728