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28669140 = 2235517347
BaseRepresentation
bin110110101011…
…1010011010100
31222221112200000
41231113103110
524314403030
62502251300
7465453333
oct155272324
958845600
1028669140
1115201605
129726b30
135c2a2b6
143b43d1a
1527b4860
hex1b574d4

28669140 has 144 divisors (see below), whose sum is σ = 95764032. Its totient is φ = 7174656.

The previous prime is 28669111. The next prime is 28669169. The reversal of 28669140 is 4196682.

It is an interprime number because it is at equal distance from previous prime (28669111) and next prime (28669169).

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

It is a junction number, because it is equal to n+sod(n) for n = 28669095 and 28669104.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 82447 + ... + 82793.

It is an arithmetic number, because the mean of its divisors is an integer number (665028).

Almost surely, 228669140 is an apocalyptic number.

28669140 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 28669140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47882016).

28669140 is an abundant number, since it is smaller than the sum of its proper divisors (67094892).

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

28669140 is a wasteful number, since it uses less digits than its factorization.

28669140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 388 (or 374 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 28669140 is about 5354.3571042656. The cubic root of 28669140 is about 306.0588122252.

The spelling of 28669140 in words is "twenty-eight million, six hundred sixty-nine thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 17 18 20 27 30 34 36 45 51 54 60 68 81 85 90 102 108 135 153 162 170 180 204 243 255 270 306 324 340 347 405 459 486 510 540 612 694 765 810 918 972 1020 1041 1215 1377 1388 1530 1620 1735 1836 2082 2295 2430 2754 3060 3123 3470 4131 4164 4590 4860 5205 5508 5899 6246 6885 6940 8262 9180 9369 10410 11798 12492 13770 15615 16524 17697 18738 20655 20820 23596 27540 28107 29495 31230 35394 37476 41310 46845 53091 56214 58990 62460 70788 82620 84321 88485 93690 106182 112428 117980 140535 159273 168642 176970 187380 212364 265455 281070 318546 337284 353940 421605 477819 530910 562140 637092 796365 843210 955638 1061820 1433457 1592730 1686420 1911276 2389095 2866914 3185460 4778190 5733828 7167285 9556380 14334570 28669140