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28278080880 = 24357142911779
BaseRepresentation
bin11010010101100000…
…010100010101110000
32200222202012100101220
4122111200110111300
5430403142042010
620554001225040
72020520502330
oct322540242560
980882170356
1028278080880
1110aa126a785
125592332180
132888712a4a
1415238990c0
15b07895970
hex695814570

28278080880 has 160 divisors (see below), whose sum is σ = 100263820800. Its totient is φ = 6458489856.

The previous prime is 28278080837. The next prime is 28278080881. The reversal of 28278080880 is 8808087282.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28278080881) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2394831 + ... + 2406609.

It is an arithmetic number, because the mean of its divisors is an integer number (626648880).

Almost surely, 228278080880 is an apocalyptic number.

28278080880 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 28278080880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50131910400).

28278080880 is an abundant number, since it is smaller than the sum of its proper divisors (71985739920).

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

28278080880 is a wasteful number, since it uses less digits than its factorization.

28278080880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13231 (or 13225 counting only the distinct ones).

The product of its (nonzero) digits is 917504, while the sum is 51.

It can be divided in two parts, 28278080 and 880, that added together give a triangular number (28278960 = T7520).

The spelling of 28278080880 in words is "twenty-eight billion, two hundred seventy-eight million, eighty thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 48 56 60 70 80 84 105 112 120 140 168 210 240 280 336 420 560 840 1429 1680 2858 4287 5716 7145 8574 10003 11432 11779 14290 17148 20006 21435 22864 23558 28580 30009 34296 35337 40012 42870 47116 50015 57160 58895 60018 68592 70674 80024 82453 85740 94232 100030 114320 117790 120036 141348 150045 160048 164906 171480 176685 188464 200060 235580 240072 247359 282696 300090 329812 342960 353370 400120 412265 471160 480144 494718 565392 600180 659624 706740 800240 824530 942320 989436 1200360 1236795 1319248 1413480 1649060 1978872 2400720 2473590 2826960 3298120 3957744 4947180 6596240 9894360 16832191 19788720 33664382 50496573 67328764 84160955 100993146 117825337 134657528 168321910 201986292 235650674 252482865 269315056 336643820 353476011 403972584 471301348 504965730 589126685 673287640 706952022 807945168 942602696 1009931460 1178253370 1346575280 1413904044 1767380055 1885205392 2019862920 2356506740 2827808088 3534760110 4039725840 4713013480 5655616176 7069520220 9426026960 14139040440 28278080880