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28813356 = 2232111329193
BaseRepresentation
bin110110111101…
…0100000101100
32000012212111100
41231322200230
524334011411
62505323100
7466623645
oct155724054
960185440
1028813356
111529a9a0
129796490
135c7ab30
143b806cc
1527e2456
hex1b7a82c

28813356 has 144 divisors (see below), whose sum is σ = 88976160. Its totient is φ = 7741440.

The previous prime is 28813339. The next prime is 28813361. The reversal of 28813356 is 65331882.

28813356 = 4742 + 4752 + ... + 5772.

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

Its product of digits (34560) is a multiple of the sum of its prime factors (256).

It is a self number, because there is not a number n which added to its sum of digits gives 28813356.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 149196 + ... + 149388.

It is an arithmetic number, because the mean of its divisors is an integer number (617890).

Almost surely, 228813356 is an apocalyptic number.

28813356 is a gapful number since it is divisible by the number (26) 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 28813356, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44488080).

28813356 is an abundant number, since it is smaller than the sum of its proper divisors (60162804).

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

28813356 is a wasteful number, since it uses less digits than its factorization.

28813356 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 256 (or 251 counting only the distinct ones).

The product of its digits is 34560, while the sum is 36.

The square root of 28813356 is about 5367.8073735931. The cubic root of 28813356 is about 306.5711491012.

The spelling of 28813356 in words is "twenty-eight million, eight hundred thirteen thousand, three hundred fifty-six".

Divisors: 1 2 3 4 6 9 11 12 13 18 22 26 29 33 36 39 44 52 58 66 78 87 99 116 117 132 143 156 174 193 198 234 261 286 319 348 377 386 396 429 468 522 572 579 638 754 772 858 957 1044 1131 1158 1276 1287 1508 1716 1737 1914 2123 2262 2316 2509 2574 2871 3393 3474 3828 4147 4246 4524 5018 5148 5597 5742 6369 6786 6948 7527 8294 8492 10036 11194 11484 12441 12738 13572 15054 16588 16791 19107 22388 22581 24882 25476 27599 30108 33582 37323 38214 45162 49764 50373 55198 61567 67164 72761 74646 76428 82797 90324 100746 110396 123134 145522 149292 165594 184701 201492 218283 246268 248391 291044 331188 369402 436566 496782 554103 654849 738804 800371 873132 993564 1108206 1309698 1600742 2216412 2401113 2619396 3201484 4802226 7203339 9604452 14406678 28813356