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28073600 = 275231283
BaseRepresentation
bin110101100010…
…1111010000000
31221211021201222
41223011322000
524141323400
62441414212
7460423142
oct153057200
957737658
1028073600
1114935125
12949a368
135a7c1c9
143a2ac92
1526e8185
hex1ac5e80

28073600 has 96 divisors (see below), whose sum is σ = 71840640. Its totient is φ = 10828800.

The previous prime is 28073599. The next prime is 28073627. The reversal of 28073600 is 637082.

It is a self number, because there is not a number n which added to its sum of digits gives 28073600.

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 11 ways as a sum of consecutive naturals, for example, 99059 + ... + 99341.

It is an arithmetic number, because the mean of its divisors is an integer number (748340).

Almost surely, 228073600 is an apocalyptic number.

28073600 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 28073600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35920320).

28073600 is an abundant number, since it is smaller than the sum of its proper divisors (43767040).

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

28073600 is a wasteful number, since it uses less digits than its factorization.

28073600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 338 (or 321 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 26.

The square root of 28073600 is about 5298.4526042987. The cubic root of 28073600 is about 303.9247274392.

The spelling of 28073600 in words is "twenty-eight million, seventy-three thousand, six hundred".

Divisors: 1 2 4 5 8 10 16 20 25 31 32 40 50 62 64 80 100 124 128 155 160 200 248 283 310 320 400 496 566 620 640 775 800 992 1132 1240 1415 1550 1600 1984 2264 2480 2830 3100 3200 3968 4528 4960 5660 6200 7075 8773 9056 9920 11320 12400 14150 17546 18112 19840 22640 24800 28300 35092 36224 43865 45280 49600 56600 70184 87730 90560 99200 113200 140368 175460 181120 219325 226400 280736 350920 438650 452800 561472 701840 877300 905600 1122944 1403680 1754600 2807360 3509200 5614720 7018400 14036800 28073600