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28434053376 = 283411712
BaseRepresentation
bin11010011110110011…
…010011100100000000
32201101121200120110000
4122132303103210000
5431213104202001
621021252240000
72024423315541
oct323663234400
981347616400
1028434053376
1111071311173
125616610000
1328b1b23271
14153a49a4c8
15b16404a86
hex69ecd3900

28434053376 has 135 divisors (see below), whose sum is σ = 84857668203. Its totient is φ = 9469923840.

The previous prime is 28434053359. The next prime is 28434053407. The reversal of 28434053376 is 67335043482.

The square root of 28434053376 is 168624.

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

28434053376 is a `hidden beast` number, since 2 + 8 + 4 + 3 + 40 + 533 + 76 = 666.

It is a super-3 number, since 3×284340533763 (a number of 32 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 24281271 + ... + 24282441.

Almost surely, 228434053376 is an apocalyptic number.

28434053376 is the 168624-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28434053376

28434053376 is an abundant number, since it is smaller than the sum of its proper divisors (56423614827).

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

28434053376 is an frugal number, since it uses more digits than its factorization.

28434053376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2370 (or 1176 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 45.

The spelling of 28434053376 in words is "twenty-eight billion, four hundred thirty-four million, fifty-three thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 256 288 324 384 432 576 648 768 864 1152 1171 1296 1728 2304 2342 2592 3456 3513 4684 5184 6912 7026 9368 10368 10539 14052 18736 20736 21078 28104 31617 37472 42156 56208 63234 74944 84312 94851 112416 126468 149888 168624 189702 224832 252936 299776 337248 379404 449664 505872 674496 758808 899328 1011744 1348992 1371241 1517616 2023488 2697984 2742482 3035232 4046976 4113723 5484964 6070464 8093952 8227446 10969928 12140928 12341169 16454892 21939856 24281856 24682338 32909784 37023507 43879712 49364676 65819568 74047014 87759424 98729352 111070521 131639136 148094028 175518848 197458704 222141042 263278272 296188056 351037696 394917408 444282084 526556544 592376112 789834816 888564168 1053113088 1184752224 1579669632 1777128336 2369504448 3159339264 3554256672 4739008896 7108513344 9478017792 14217026688 28434053376