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28828240000 = 2754751479
BaseRepresentation
bin11010110110010011…
…000000100010000000
32202102002102022211121
4122312103000202000
5433020012140000
621124333122024
72040250665640
oct326623004200
982362368747
1028828240000
111125387643a
125706629314
1329456aa7a1
14157698a520
15b3ad1ab1a
hex6b64c0880

28828240000 has 160 divisors (see below), whose sum is σ = 82019995200. Its totient is φ = 9883776000.

The previous prime is 28828239971. The next prime is 28828240003. The reversal of 28828240000 is 4282882.

It is a tau number, because it is divible by the number of its divisors (160).

It is not an unprimeable number, because it can be changed into a prime (28828240003) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 534261 + ... + 585739.

It is an arithmetic number, because the mean of its divisors is an integer number (512624970).

Almost surely, 228828240000 is an apocalyptic number.

28828240000 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 28828240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41009997600).

28828240000 is an abundant number, since it is smaller than the sum of its proper divisors (53191755200).

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

28828240000 is an frugal number, since it uses more digits than its factorization.

28828240000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51520 (or 51493 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 34.

The spelling of 28828240000 in words is "twenty-eight billion, eight hundred twenty-eight million, two hundred forty thousand".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 32 35 40 50 56 64 70 80 100 112 125 128 140 160 175 200 224 250 280 320 350 400 448 500 560 625 640 700 800 875 896 1000 1120 1250 1400 1600 1750 2000 2240 2500 2800 3200 3500 4000 4375 4480 5000 5600 7000 8000 8750 10000 11200 14000 16000 17500 20000 22400 28000 35000 40000 51479 56000 70000 80000 102958 112000 140000 205916 257395 280000 360353 411832 514790 560000 720706 823664 1029580 1286975 1441412 1647328 1801765 2059160 2573950 2882824 3294656 3603530 4118320 5147900 5765648 6434875 6589312 7207060 8236640 9008825 10295800 11531296 12869750 14414120 16473280 18017650 20591600 23062592 25739500 28828240 32174375 32946560 36035300 41183200 45044125 46125184 51479000 57656480 64348750 72070600 82366400 90088250 102958000 115312960 128697500 144141200 164732800 180176500 205916000 225220625 230625920 257395000 288282400 360353000 411832000 450441250 514790000 576564800 720706000 823664000 900882500 1029580000 1153129600 1441412000 1801765000 2059160000 2882824000 3603530000 4118320000 5765648000 7207060000 14414120000 28828240000