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28927360 = 275711587
BaseRepresentation
bin110111001011…
…0010110000000
32000102122212201
41232112112000
524401133420
62512002544
7500610220
oct156262600
960378781
1028927360
1115368610
129830454
135cba9a7
143bb0080
15281610a
hex1b96580

28927360 has 128 divisors (see below), whose sum is σ = 86365440. Its totient is φ = 9000960.

The previous prime is 28927321. The next prime is 28927361. The reversal of 28927360 is 6372982.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28927361) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 48987 + ... + 49573.

It is an arithmetic number, because the mean of its divisors is an integer number (674730).

Almost surely, 228927360 is an apocalyptic number.

28927360 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 28927360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43182720).

28927360 is an abundant number, since it is smaller than the sum of its proper divisors (57438080).

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

28927360 is a wasteful number, since it uses less digits than its factorization.

28927360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 624 (or 612 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 37.

The square root of 28927360 is about 5378.4161237301. The cubic root of 28927360 is about 306.9749472920.

The spelling of 28927360 in words is "twenty-eight million, nine hundred twenty-seven thousand, three hundred sixty".

Divisors: 1 2 4 5 7 8 10 11 14 16 20 22 28 32 35 40 44 55 56 64 70 77 80 88 110 112 128 140 154 160 176 220 224 280 308 320 352 385 440 448 560 587 616 640 704 770 880 896 1120 1174 1232 1408 1540 1760 2240 2348 2464 2935 3080 3520 4109 4480 4696 4928 5870 6160 6457 7040 8218 9392 9856 11740 12320 12914 16436 18784 20545 23480 24640 25828 32285 32872 37568 41090 45199 46960 49280 51656 64570 65744 75136 82180 90398 93920 103312 129140 131488 164360 180796 187840 206624 225995 258280 262976 328720 361592 375680 413248 451990 516560 525952 657440 723184 826496 903980 1033120 1314880 1446368 1807960 2066240 2629760 2892736 3615920 4132480 5785472 7231840 14463680 28927360