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28364700 = 223527131039
BaseRepresentation
bin110110000110…
…0111110011100
31222101002001110
41230030332130
524230132300
62451542020
7463044630
oct154147634
958332043
1028364700
1115013901
1295ba910
135b51860
143aa4dc0
152754550
hex1b0cf9c

28364700 has 144 divisors (see below), whose sum is σ = 101104640. Its totient is φ = 5978880.

The previous prime is 28364689. The next prime is 28364711. The reversal of 28364700 is 746382.

It is an interprime number because it is at equal distance from previous prime (28364689) and next prime (28364711).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 26781 + ... + 27819.

Almost surely, 228364700 is an apocalyptic number.

28364700 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 28364700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50552320).

28364700 is an abundant number, since it is smaller than the sum of its proper divisors (72739940).

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

28364700 is a wasteful number, since it uses less digits than its factorization.

28364700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1076 (or 1069 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

The square root of 28364700 is about 5325.8520445089. The cubic root of 28364700 is about 304.9715999714.

The spelling of 28364700 in words is "twenty-eight million, three hundred sixty-four thousand, seven hundred".

Divisors: 1 2 3 4 5 6 7 10 12 13 14 15 20 21 25 26 28 30 35 39 42 50 52 60 65 70 75 78 84 91 100 105 130 140 150 156 175 182 195 210 260 273 300 325 350 364 390 420 455 525 546 650 700 780 910 975 1039 1050 1092 1300 1365 1820 1950 2078 2100 2275 2730 3117 3900 4156 4550 5195 5460 6234 6825 7273 9100 10390 12468 13507 13650 14546 15585 20780 21819 25975 27014 27300 29092 31170 36365 40521 43638 51950 54028 62340 67535 72730 77925 81042 87276 94549 103900 109095 135070 145460 155850 162084 181825 189098 202605 218190 270140 283647 311700 337675 363650 378196 405210 436380 472745 545475 567294 675350 727300 810420 945490 1013025 1090950 1134588 1350700 1418235 1890980 2026050 2181900 2363725 2836470 4052100 4727450 5672940 7091175 9454900 14182350 28364700