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28696500 = 2232537911
BaseRepresentation
bin110110101110…
…1111110110100
31222222221012100
41231131332310
524321242000
62503022100
7465626160
oct155357664
958887170
1028696500
1115220118
12973a930
135c398a1
143b4dca0
1527bca00
hex1b5dfb4

28696500 has 144 divisors (see below), whose sum is σ = 103574016. Its totient is φ = 6552000.

The previous prime is 28696489. The next prime is 28696511. The reversal of 28696500 is 569682.

It is an interprime number because it is at equal distance from previous prime (28696489) and next prime (28696511).

It is a super-2 number, since 2×286965002 = 1646978224500000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 31045 + ... + 31955.

It is an arithmetic number, because the mean of its divisors is an integer number (719264).

Almost surely, 228696500 is an apocalyptic number.

28696500 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 28696500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51787008).

28696500 is an abundant number, since it is smaller than the sum of its proper divisors (74877516).

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

28696500 is a wasteful number, since it uses less digits than its factorization.

28696500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 943 (or 928 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 28696500 is about 5356.9114235724. The cubic root of 28696500 is about 306.1561422778.

The spelling of 28696500 in words is "twenty-eight million, six hundred ninety-six thousand, five hundred".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 25 28 30 35 36 42 45 50 60 63 70 75 84 90 100 105 125 126 140 150 175 180 210 225 250 252 300 315 350 375 420 450 500 525 630 700 750 875 900 911 1050 1125 1260 1500 1575 1750 1822 2100 2250 2625 2733 3150 3500 3644 4500 4555 5250 5466 6300 6377 7875 8199 9110 10500 10932 12754 13665 15750 16398 18220 19131 22775 25508 27330 31500 31885 32796 38262 40995 45550 54660 57393 63770 68325 76524 81990 91100 95655 113875 114786 127540 136650 159425 163980 191310 204975 227750 229572 273300 286965 318850 341625 382620 409950 455500 478275 573930 637700 683250 797125 819900 956550 1024875 1147860 1366500 1434825 1594250 1913100 2049750 2391375 2869650 3188500 4099500 4782750 5739300 7174125 9565500 14348250 28696500