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28882260 = 223251129503
BaseRepresentation
bin110111000101…
…1010101010100
32000100101000100
41232023111110
524343213020
62511014100
7500331561
oct156132524
960311010
1028882260
1115337740
12980a330
135ca32c4
143b9b868
152807a90
hex1b8b554

28882260 has 144 divisors (see below), whose sum is σ = 99066240. Its totient is φ = 6746880.

The previous prime is 28882247. The next prime is 28882267. The reversal of 28882260 is 6228882.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28882267) by changing a digit.

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, 57169 + ... + 57671.

It is an arithmetic number, because the mean of its divisors is an integer number (687960).

Almost surely, 228882260 is an apocalyptic number.

28882260 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 28882260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49533120).

28882260 is an abundant number, since it is smaller than the sum of its proper divisors (70183980).

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

28882260 is a wasteful number, since it uses less digits than its factorization.

28882260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 558 (or 553 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The square root of 28882260 is about 5374.2218041313. The cubic root of 28882260 is about 306.8153317206.

It can be divided in two parts, 288822 and 60, that added together give a palindrome (288882).

The spelling of 28882260 in words is "twenty-eight million, eight hundred eighty-two thousand, two hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 29 30 33 36 44 45 55 58 60 66 87 90 99 110 116 132 145 165 174 180 198 220 261 290 319 330 348 396 435 495 503 522 580 638 660 870 957 990 1006 1044 1276 1305 1509 1595 1740 1914 1980 2012 2515 2610 2871 3018 3190 3828 4527 4785 5030 5220 5533 5742 6036 6380 7545 9054 9570 10060 11066 11484 14355 14587 15090 16599 18108 19140 22132 22635 27665 28710 29174 30180 33198 43761 45270 49797 55330 57420 58348 66396 72935 82995 87522 90540 99594 110660 131283 145870 160457 165990 175044 199188 218805 248985 262566 291740 320914 331980 437610 481371 497970 525132 641828 656415 802285 875220 962742 995940 1312830 1444113 1604570 1925484 2406855 2625660 2888226 3209140 4813710 5776452 7220565 9627420 14441130 28882260