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28650240 = 28335829
BaseRepresentation
bin110110101001…
…0101100000000
31222220120202000
41231102230000
524313301430
62502024000
7465344253
oct155225400
958816660
1028650240
1115199393
129718000
135c21808
143b3b09a
1527ade60
hex1b52b00

28650240 has 144 divisors (see below), whose sum is σ = 101791200. Its totient is φ = 7630848.

The previous prime is 28650217. The next prime is 28650277. The reversal of 28650240 is 4205682.

28650240 is a `hidden beast` number, since 2 + 8 + 650 + 2 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34146 + ... + 34974.

Almost surely, 228650240 is an apocalyptic number.

28650240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28650240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50895600).

28650240 is an abundant number, since it is smaller than the sum of its proper divisors (73140960).

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

28650240 is an equidigital number, since it uses as much as digits as its factorization.

28650240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 859 (or 839 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 28650240 is about 5352.5918955213. The cubic root of 28650240 is about 305.9915414809.

The spelling of 28650240 in words is "twenty-eight million, six hundred fifty thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 64 72 80 90 96 108 120 128 135 144 160 180 192 216 240 256 270 288 320 360 384 432 480 540 576 640 720 768 829 864 960 1080 1152 1280 1440 1658 1728 1920 2160 2304 2487 2880 3316 3456 3840 4145 4320 4974 5760 6632 6912 7461 8290 8640 9948 11520 12435 13264 14922 16580 17280 19896 22383 24870 26528 29844 33160 34560 37305 39792 44766 49740 53056 59688 66320 74610 79584 89532 99480 106112 111915 119376 132640 149220 159168 179064 198960 212224 223830 238752 265280 298440 318336 358128 397920 447660 477504 530560 596880 636672 716256 795840 895320 955008 1061120 1193760 1432512 1591680 1790640 1910016 2387520 2865024 3183360 3581280 4775040 5730048 7162560 9550080 14325120 28650240