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28890600 = 23352179269
BaseRepresentation
bin110111000110…
…1010111101000
32000100210110020
41232031113220
524343444400
62511120440
7500365104
oct156152750
960323406
1028890600
1115342a32
129813120
135ca703b
143ba0904
15280a2a0
hex1b8d5e8

28890600 has 96 divisors (see below), whose sum is σ = 90396000. Its totient is φ = 7632640.

The previous prime is 28890593. The next prime is 28890611. The reversal of 28890600 is 609882.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 107266 + ... + 107534.

It is an arithmetic number, because the mean of its divisors is an integer number (941625).

Almost surely, 228890600 is an apocalyptic number.

28890600 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 28890600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45198000).

28890600 is an abundant number, since it is smaller than the sum of its proper divisors (61505400).

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

28890600 is a wasteful number, since it uses less digits than its factorization.

28890600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 467 (or 458 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 33.

The square root of 28890600 is about 5374.9976744181. The cubic root of 28890600 is about 306.8448607304.

The spelling of 28890600 in words is "twenty-eight million, eight hundred ninety thousand, six hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 179 200 269 300 358 537 538 600 716 807 895 1074 1076 1345 1432 1614 1790 2148 2152 2685 2690 3228 3580 4035 4296 4475 5370 5380 6456 6725 7160 8070 8950 10740 10760 13425 13450 16140 17900 20175 21480 26850 26900 32280 35800 40350 48151 53700 53800 80700 96302 107400 144453 161400 192604 240755 288906 385208 481510 577812 722265 963020 1155624 1203775 1444530 1926040 2407550 2889060 3611325 4815100 5778120 7222650 9630200 14445300 28890600