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28000560 = 2435722381
BaseRepresentation
bin110101011010…
…0000100110000
31221200120112210
41222310010300
524132004220
62440052120
7460000200
oct152640460
957616483
1028000560
1114895265
129464040
135a54ba3
143a0c400
1526d16e0
hex1ab4130

28000560 has 120 divisors (see below), whose sum is σ = 101015856. Its totient is φ = 6397440.

The previous prime is 28000559. The next prime is 28000561. The reversal of 28000560 is 6500082.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (28000559) and next prime (28000561).

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (28000561) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10570 + ... + 12950.

Almost surely, 228000560 is an apocalyptic number.

28000560 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 28000560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50507928).

28000560 is an abundant number, since it is smaller than the sum of its proper divisors (73015296).

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

28000560 is a wasteful number, since it uses less digits than its factorization.

28000560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2411 (or 2398 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 28000560 is about 5291.5555368908. Note that the first 4 decimals coincide. The cubic root of 28000560 is about 303.6609215667.

The spelling of 28000560 in words is "twenty-eight million, five hundred sixty", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 48 49 56 60 70 80 84 98 105 112 120 140 147 168 196 210 240 245 280 294 336 392 420 490 560 588 735 784 840 980 1176 1470 1680 1960 2352 2381 2940 3920 4762 5880 7143 9524 11760 11905 14286 16667 19048 23810 28572 33334 35715 38096 47620 50001 57144 66668 71430 83335 95240 100002 114288 116669 133336 142860 166670 190480 200004 233338 250005 266672 285720 333340 350007 400008 466676 500010 571440 583345 666680 700014 800016 933352 1000020 1166690 1333360 1400028 1750035 1866704 2000040 2333380 2800056 3500070 4000080 4666760 5600112 7000140 9333520 14000280 28000560