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28319060 = 22572113771
BaseRepresentation
bin110110000000…
…1110101010100
31222021202110002
41230001311110
524222202220
62450550432
7462464600
oct154016524
958252402
1028319060
1114a92590
129598418
135b36b53
143a92500
152745c75
hex1b01d54

28319060 has 144 divisors (see below), whose sum is σ = 78599808. Its totient is φ = 8467200.

The previous prime is 28319047. The next prime is 28319099. The reversal of 28319060 is 6091382.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 398825 + ... + 398895.

It is an arithmetic number, because the mean of its divisors is an integer number (545832).

Almost surely, 228319060 is an apocalyptic number.

28319060 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 28319060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39299904).

28319060 is an abundant number, since it is smaller than the sum of its proper divisors (50280748).

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

28319060 is a wasteful number, since it uses less digits than its factorization.

28319060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142 (or 133 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 29.

The square root of 28319060 is about 5321.5655591189. The cubic root of 28319060 is about 304.8079414349.

The spelling of 28319060 in words is "twenty-eight million, three hundred nineteen thousand, sixty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 35 37 44 49 55 70 71 74 77 98 110 140 142 148 154 185 196 220 245 259 284 308 355 370 385 407 490 497 518 539 710 740 770 781 814 980 994 1036 1078 1295 1420 1540 1562 1628 1813 1988 2035 2156 2485 2590 2627 2695 2849 3124 3479 3626 3905 4070 4970 5180 5254 5390 5467 5698 6958 7252 7810 8140 9065 9940 10508 10780 10934 11396 13135 13916 14245 15620 17395 18130 18389 19943 21868 26270 27335 28490 28897 34790 36260 36778 38269 39886 52540 54670 56980 57794 69580 73556 76538 79772 91945 99715 109340 115588 128723 144485 153076 183890 191345 199430 202279 257446 288970 367780 382690 398860 404558 514892 577940 643615 765380 809116 1011395 1287230 1415953 2022790 2574460 2831906 4045580 5663812 7079765 14159530 28319060