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28289777040 = 2433571871017
BaseRepresentation
bin11010010110001100…
…111011110110010000
32201000120012120112000
4122112030323312100
5430414140331130
620555100034000
72021022065040
oct322614736620
981016176460
1028289777040
1110aa7929228
125596232900
13288ac79655
141525261720
15b08906260
hex69633bd90

28289777040 has 160 divisors (see below), whose sum is σ = 111362991360. Its totient is φ = 6466231296.

The previous prime is 28289777039. The next prime is 28289777069. The reversal of 28289777040 is 4077798282.

It is a super-2 number, since 2×282897770402 (a number of 22 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 920389 + ... + 950628.

It is an arithmetic number, because the mean of its divisors is an integer number (696018696).

Almost surely, 228289777040 is an apocalyptic number.

28289777040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

28289777040 is an abundant number, since it is smaller than the sum of its proper divisors (83073214320).

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

28289777040 is a wasteful number, since it uses less digits than its factorization.

28289777040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1871046 (or 1871034 counting only the distinct ones).

The product of its (nonzero) digits is 3161088, while the sum is 54.

The spelling of 28289777040 in words is "twenty-eight billion, two hundred eighty-nine million, seven hundred seventy-seven thousand, forty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 27 28 30 35 36 40 42 45 48 54 56 60 63 70 72 80 84 90 105 108 112 120 126 135 140 144 168 180 189 210 216 240 252 270 280 315 336 360 378 420 432 504 540 560 630 720 756 840 945 1008 1080 1260 1512 1680 1890 2160 2520 3024 3780 5040 7560 15120 1871017 3742034 5613051 7484068 9355085 11226102 13097119 14968136 16839153 18710170 22452204 26194238 28065255 29936272 33678306 37420340 39291357 44904408 50517459 52388476 56130510 65485595 67356612 74840680 78582714 84195765 89808816 101034918 104776952 112261020 117874071 130971190 134713224 149681360 157165428 168391530 196456785 202069836 209553904 224522040 235748142 252587295 261942380 269426448 314330856 336783060 353622213 392913570 404139672 449044080 471496284 505174590 523884760 589370355 628661712 673566120 707244426 785827140 808279344 942992568 1010349180 1047769520 1178740710 1347132240 1414488852 1571654280 1768111065 1885985136 2020698360 2357481420 2828977704 3143308560 3536222130 4041396720 4714962840 5657955408 7072444260 9429925680 14144888520 28289777040