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28169904 = 243732959
BaseRepresentation
bin110101101110…
…1011010110000
31222000011211210
41223131122300
524202414104
62443440120
7461304000
oct153353260
958004753
1028169904
11149a0514
129526040
135ab3ca9
143a54000
152716989
hex1add6b0

28169904 has 160 divisors (see below), whose sum is σ = 89280000. Its totient is φ = 7639296.

The previous prime is 28169903. The next prime is 28169971. The reversal of 28169904 is 40996182.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28169903) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 477427 + ... + 477485.

It is an arithmetic number, because the mean of its divisors is an integer number (558000).

Almost surely, 228169904 is an apocalyptic number.

28169904 is a gapful number since it is divisible by the number (24) 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 28169904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44640000).

28169904 is an abundant number, since it is smaller than the sum of its proper divisors (61110096).

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

28169904 is a wasteful number, since it uses less digits than its factorization.

28169904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 39.

The square root of 28169904 is about 5307.5327601438. The cubic root of 28169904 is about 304.2718597647.

It can be divided in two parts, 2816 and 9904, that added together give a triangular number (12720 = T159).

The spelling of 28169904 in words is "twenty-eight million, one hundred sixty-nine thousand, nine hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 29 42 48 49 56 58 59 84 87 98 112 116 118 147 168 174 177 196 203 232 236 294 336 343 348 354 392 406 413 464 472 588 609 686 696 708 784 812 826 944 1029 1176 1218 1239 1372 1392 1416 1421 1624 1652 1711 2058 2352 2436 2478 2744 2832 2842 2891 3248 3304 3422 4116 4263 4872 4956 5133 5488 5684 5782 6608 6844 8232 8526 8673 9744 9912 9947 10266 11368 11564 11977 13688 16464 17052 17346 19824 19894 20237 20532 22736 23128 23954 27376 29841 34104 34692 35931 39788 40474 41064 46256 47908 59682 60711 68208 69384 71862 79576 80948 82128 83839 95816 119364 121422 138768 143724 159152 161896 167678 191632 238728 242844 251517 287448 323792 335356 477456 485688 503034 574896 586873 670712 971376 1006068 1173746 1341424 1760619 2012136 2347492 3521238 4024272 4694984 7042476 9389968 14084952 28169904