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28088640 = 263353251
BaseRepresentation
bin110101100100…
…1100101000000
31221212001101000
41223021211000
524142314030
62442012000
7460515036
oct153114500
957761330
1028088640
1114945458
1294a7000
135a85cc8
143a32556
1526ec860
hex1ac9940

28088640 has 112 divisors (see below), whose sum is σ = 99120960. Its totient is φ = 7488000.

The previous prime is 28088639. The next prime is 28088647. The reversal of 28088640 is 4688082.

28088640 is a `hidden beast` number, since 2 + 8 + 0 + 8 + 8 + 640 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 28088595 and 28088604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28088647) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7015 + ... + 10265.

Almost surely, 228088640 is an apocalyptic number.

28088640 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 28088640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49560480).

28088640 is an abundant number, since it is smaller than the sum of its proper divisors (71032320).

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

28088640 is a wasteful number, since it uses less digits than its factorization.

28088640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3277 (or 3261 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The square root of 28088640 is about 5299.8716965602. The cubic root of 28088640 is about 303.9789920848.

The spelling of 28088640 in words is "twenty-eight million, eighty-eight thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 64 72 80 90 96 108 120 135 144 160 180 192 216 240 270 288 320 360 432 480 540 576 720 864 960 1080 1440 1728 2160 2880 3251 4320 6502 8640 9753 13004 16255 19506 26008 29259 32510 39012 48765 52016 58518 65020 78024 87777 97530 104032 117036 130040 146295 156048 175554 195060 208064 234072 260080 292590 312096 351108 390120 438885 468144 520160 585180 624192 702216 780240 877770 936288 1040320 1170360 1404432 1560480 1755540 1872576 2340720 2808864 3120960 3511080 4681440 5617728 7022160 9362880 14044320 28088640