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28915920 = 24335111217
BaseRepresentation
bin110111001001…
…1100011010000
32000102002012000
41232103203100
524400302140
62511434000
7500531655
oct156234320
960362160
1028915920
111535aa60
129825900
135cb5717
143ba9c2c
152812a30
hex1b938d0

28915920 has 160 divisors (see below), whose sum is σ = 108743040. Its totient is φ = 7004160.

The previous prime is 28915919. The next prime is 28915933. The reversal of 28915920 is 2951982.

It is a super-2 number, since 2×289159202 = 1672260858892800, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 23152 + ... + 24368.

It is an arithmetic number, because the mean of its divisors is an integer number (679644).

Almost surely, 228915920 is an apocalyptic number.

28915920 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 28915920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54371520).

28915920 is an abundant number, since it is smaller than the sum of its proper divisors (79827120).

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

28915920 is a wasteful number, since it uses less digits than its factorization.

28915920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1250 (or 1238 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The square root of 28915920 is about 5377.3525084376. The cubic root of 28915920 is about 306.9344751526.

The spelling of 28915920 in words is "twenty-eight million, nine hundred fifteen thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 11 12 15 16 18 20 22 24 27 30 33 36 40 44 45 48 54 55 60 66 72 80 88 90 99 108 110 120 132 135 144 165 176 180 198 216 220 240 264 270 297 330 360 396 432 440 495 528 540 594 660 720 792 880 990 1080 1188 1217 1320 1485 1584 1980 2160 2376 2434 2640 2970 3651 3960 4752 4868 5940 6085 7302 7920 9736 10953 11880 12170 13387 14604 18255 19472 21906 23760 24340 26774 29208 32859 36510 40161 43812 48680 53548 54765 58416 65718 66935 73020 80322 87624 97360 107096 109530 120483 131436 133870 146040 160644 164295 175248 200805 214192 219060 240966 262872 267740 292080 321288 328590 361449 401610 438120 481932 525744 535480 602415 642576 657180 722898 803220 876240 963864 1070960 1204830 1314360 1445796 1606440 1807245 1927728 2409660 2628720 2891592 3212880 3614490 4819320 5783184 7228980 9638640 14457960 28915920