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28135680 = 283517431
BaseRepresentation
bin110101101010…
…1000100000000
31221221102220020
41223111010000
524200320210
62443013440
7461102136
oct153250400
957842806
1028135680
1114977831
12950a280
135aa1541
143a45756
15270b770
hex1ad5100

28135680 has 144 divisors (see below), whose sum is σ = 95364864. Its totient is φ = 7045120.

The previous prime is 28135673. The next prime is 28135691. The reversal of 28135680 is 8653182.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 65065 + ... + 65495.

It is an arithmetic number, because the mean of its divisors is an integer number (662256).

Almost surely, 228135680 is an apocalyptic number.

28135680 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 28135680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47682432).

28135680 is an abundant number, since it is smaller than the sum of its proper divisors (67229184).

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

28135680 is a wasteful number, since it uses less digits than its factorization.

28135680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 472 (or 458 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 33.

The square root of 28135680 is about 5304.3076833834. The cubic root of 28135680 is about 304.1485884879.

The spelling of 28135680 in words is "twenty-eight million, one hundred thirty-five thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 17 20 24 30 32 34 40 48 51 60 64 68 80 85 96 102 120 128 136 160 170 192 204 240 255 256 272 320 340 384 408 431 480 510 544 640 680 768 816 862 960 1020 1088 1280 1293 1360 1632 1724 1920 2040 2155 2176 2586 2720 3264 3448 3840 4080 4310 4352 5172 5440 6465 6528 6896 7327 8160 8620 10344 10880 12930 13056 13792 14654 16320 17240 20688 21760 21981 25860 27584 29308 32640 34480 36635 41376 43962 51720 55168 58616 65280 68960 73270 82752 87924 103440 109905 110336 117232 137920 146540 165504 175848 206880 219810 234464 275840 293080 331008 351696 413760 439620 468928 551680 586160 703392 827520 879240 937856 1172320 1406784 1655040 1758480 1875712 2344640 2813568 3516960 4689280 5627136 7033920 9378560 14067840 28135680