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28001295 = 345721783
BaseRepresentation
bin110101011010…
…0010000001111
31221200121120000
41222310100033
524132020140
62440055343
7460002300
oct152642017
957617500
1028001295
1114895873
129464553
135a5531a
143a0c7a7
1526d1a30
hex1ab440f

28001295 has 120 divisors (see below), whose sum is σ = 62569584. Its totient is φ = 11902464.

The previous prime is 28001291. The next prime is 28001297. The reversal of 28001295 is 59210082.

It is not a de Polignac number, because 28001295 - 22 = 28001291 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28001291) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 337324 + ... + 337406.

Almost surely, 228001295 is an apocalyptic number.

28001295 is an abundant number, since it is smaller than the sum of its proper divisors (34568289).

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

28001295 is a wasteful number, since it uses less digits than its factorization.

28001295 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131 (or 115 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 28001295 is about 5291.6249867125. The cubic root of 28001295 is about 303.6635785234.

It can be divided in two parts, 2800 and 1295, that added together give a triangular number (4095 = T90).

The spelling of 28001295 in words is "twenty-eight million, one thousand, two hundred ninety-five".

Divisors: 1 3 5 7 9 15 17 21 27 35 45 49 51 63 81 83 85 105 119 135 147 153 189 245 249 255 315 357 405 415 441 459 567 581 595 735 747 765 833 945 1071 1245 1323 1377 1411 1743 1785 2205 2241 2295 2499 2835 2905 3213 3735 3969 4067 4165 4233 5229 5355 6615 6723 6885 7055 7497 8715 9639 9877 11205 12201 12495 12699 15687 16065 19845 20335 21165 22491 26145 29631 33615 36603 37485 38097 47061 48195 49385 61005 63495 67473 69139 78435 88893 109809 112455 114291 148155 183015 190485 207417 235305 266679 329427 337365 345695 444465 549045 571455 622251 800037 1037085 1333395 1647135 1866753 3111255 4000185 5600259 9333765 28001295