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28778382 = 23317232947
BaseRepresentation
bin110110111000…
…1111110001110
32000011002112000
41231301332032
524331402012
62504453130
7466416663
oct155617616
960132460
1028778382
1115276696
12977a1a6
135c67c39
143b71a6a
1527d6ddc
hex1b71f8e

28778382 has 128 divisors (see below), whose sum is σ = 74649600. Its totient is φ = 8160768.

The previous prime is 28778381. The next prime is 28778389. The reversal of 28778382 is 28387782.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28778381) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 612283 + ... + 612329.

It is an arithmetic number, because the mean of its divisors is an integer number (583200).

Almost surely, 228778382 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28778382, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37324800).

28778382 is an abundant number, since it is smaller than the sum of its proper divisors (45871218).

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

28778382 is a wasteful number, since it uses less digits than its factorization.

28778382 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127 (or 121 counting only the distinct ones).

The product of its digits is 301056, while the sum is 45.

The square root of 28778382 is about 5364.5486296612. The cubic root of 28778382 is about 306.4470589574.

The spelling of 28778382 in words is "twenty-eight million, seven hundred seventy-eight thousand, three hundred eighty-two".

Divisors: 1 2 3 6 9 17 18 23 27 29 34 46 47 51 54 58 69 87 94 102 138 141 153 174 207 261 282 306 391 414 423 459 493 522 621 667 782 783 799 846 918 986 1081 1173 1242 1269 1334 1363 1479 1566 1598 2001 2162 2346 2397 2538 2726 2958 3243 3519 4002 4089 4437 4794 6003 6486 7038 7191 8178 8874 9729 10557 11339 12006 12267 13311 14382 18009 18377 19458 21114 21573 22678 23171 24534 26622 29187 31349 34017 36018 36754 36801 43146 46342 55131 58374 62698 68034 69513 73602 94047 102051 110262 139026 165393 188094 204102 208539 282141 306153 330786 417078 496179 532933 564282 612306 625617 846423 992358 1065866 1251234 1598799 1692846 3197598 4796397 9592794 14389191 28778382