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28274688 = 212321359
BaseRepresentation
bin110101111011…
…1000000000000
31222012111120200
41223313000000
524214242223
62450005200
7462221331
oct153670000
958174520
1028274688
1114a62212
129576800
135b1c8b0
143a80288
152737a43
hex1af7000

28274688 has 156 divisors (see below), whose sum is σ = 89445720. Its totient is φ = 8552448.

The previous prime is 28274671. The next prime is 28274699. The reversal of 28274688 is 88647282.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (156).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 479203 + ... + 479261.

It is an arithmetic number, because the mean of its divisors is an integer number (573370).

Almost surely, 228274688 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 28274688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44722860).

28274688 is an abundant number, since it is smaller than the sum of its proper divisors (61171032).

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

28274688 is a wasteful number, since it uses less digits than its factorization.

28274688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102 (or 77 counting only the distinct ones).

The product of its digits is 344064, while the sum is 45.

The square root of 28274688 is about 5317.3948508645. The cubic root of 28274688 is about 304.6486611006.

The spelling of 28274688 in words is "twenty-eight million, two hundred seventy-four thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 59 64 72 78 96 104 117 118 128 144 156 177 192 208 234 236 256 288 312 354 384 416 468 472 512 531 576 624 708 767 768 832 936 944 1024 1062 1152 1248 1416 1534 1536 1664 1872 1888 2048 2124 2301 2304 2496 2832 3068 3072 3328 3744 3776 4096 4248 4602 4608 4992 5664 6136 6144 6656 6903 7488 7552 8496 9204 9216 9984 11328 12272 12288 13312 13806 14976 15104 16992 18408 18432 19968 22656 24544 26624 27612 29952 30208 33984 36816 36864 39936 45312 49088 53248 55224 59904 60416 67968 73632 79872 90624 98176 110448 119808 120832 135936 147264 159744 181248 196352 220896 239616 241664 271872 294528 362496 392704 441792 479232 543744 589056 724992 785408 883584 1087488 1178112 1570816 1767168 2174976 2356224 3141632 3534336 4712448 7068672 9424896 14137344 28274688