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28763520 = 273571211
BaseRepresentation
bin110110110111…
…0010110000000
32000010100010120
41231232112000
524330413040
62504300240
7466325442
oct155562600
960110116
1028763520
1115266505
129771680
135c61246
143b6a492
1527d27d0
hex1b6e580

28763520 has 128 divisors (see below), whose sum is σ = 93415680. Its totient is φ = 7526400.

The previous prime is 28763489. The next prime is 28763531. The reversal of 28763520 is 2536782.

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

It is a congruent 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, 136215 + ... + 136425.

It is an arithmetic number, because the mean of its divisors is an integer number (729810).

Almost surely, 228763520 is an apocalyptic number.

28763520 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 28763520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46707840).

28763520 is an abundant number, since it is smaller than the sum of its proper divisors (64652160).

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

28763520 is a wasteful number, since it uses less digits than its factorization.

28763520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 304 (or 292 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 33.

The square root of 28763520 is about 5363.1632456974. The cubic root of 28763520 is about 306.3942971259.

The spelling of 28763520 in words is "twenty-eight million, seven hundred sixty-three thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 71 80 96 120 128 142 160 192 211 213 240 284 320 355 384 422 426 480 568 633 640 710 844 852 960 1055 1065 1136 1266 1420 1688 1704 1920 2110 2130 2272 2532 2840 3165 3376 3408 4220 4260 4544 5064 5680 6330 6752 6816 8440 8520 9088 10128 11360 12660 13504 13632 14981 16880 17040 20256 22720 25320 27008 27264 29962 33760 34080 40512 44943 45440 50640 59924 67520 68160 74905 81024 89886 101280 119848 135040 136320 149810 179772 202560 224715 239696 299620 359544 405120 449430 479392 599240 719088 898860 958784 1198480 1438176 1797720 1917568 2396960 2876352 3595440 4793920 5752704 7190880 9587840 14381760 28763520