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28589000 = 23531123113
BaseRepresentation
bin110110100001…
…1101111001000
31222210110201212
41231003233020
524304322000
62500432252
7465000566
oct155035710
958713655
1028589000
1115157380
1296a8688
135bcc98b
143b22a36
15279ac35
hex1b43bc8

28589000 has 128 divisors (see below), whose sum is σ = 76826880. Its totient is φ = 9856000.

The previous prime is 28588999. The next prime is 28589017. The reversal of 28589000 is 98582.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 252944 + ... + 253056.

It is an arithmetic number, because the mean of its divisors is an integer number (600210).

Almost surely, 228589000 is an apocalyptic number.

28589000 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 28589000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38413440).

28589000 is an abundant number, since it is smaller than the sum of its proper divisors (48237880).

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

28589000 is a wasteful number, since it uses less digits than its factorization.

28589000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 32.

The square root of 28589000 is about 5346.8682422517. The cubic root of 28589000 is about 305.7733665851.

The spelling of 28589000 in words is "twenty-eight million, five hundred eighty-nine thousand".

Divisors: 1 2 4 5 8 10 11 20 22 23 25 40 44 46 50 55 88 92 100 110 113 115 125 184 200 220 226 230 250 253 275 440 452 460 500 506 550 565 575 904 920 1000 1012 1100 1130 1150 1243 1265 1375 2024 2200 2260 2300 2486 2530 2599 2750 2825 2875 4520 4600 4972 5060 5198 5500 5650 5750 6215 6325 9944 10120 10396 11000 11300 11500 12430 12650 12995 14125 20792 22600 23000 24860 25300 25990 28250 28589 31075 31625 49720 50600 51980 56500 57178 62150 63250 64975 103960 113000 114356 124300 126500 129950 142945 155375 228712 248600 253000 259900 285890 310750 324875 519800 571780 621500 649750 714725 1143560 1243000 1299500 1429450 2599000 2858900 3573625 5717800 7147250 14294500 28589000