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28794544000 = 275310631693
BaseRepresentation
bin11010110100010010…
…011101111110000000
32202022202000101121121
4122310102131332000
5432432400402000
621121131002024
72036361404605
oct326422357600
982282011547
1028794544000
1111236851102
1256b7299314
13293b710421
1415722d86ac
15b37db1b1a
hex6b449df80

28794544000 has 128 divisors (see below), whose sum is σ = 71700108480. Its totient is φ = 11500185600.

The previous prime is 28794543931. The next prime is 28794544007. The reversal of 28794544000 is 44549782.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28794544007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17007154 + ... + 17008846.

Almost surely, 228794544000 is an apocalyptic number.

28794544000 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 28794544000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35850054240).

28794544000 is an abundant number, since it is smaller than the sum of its proper divisors (42905564480).

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

28794544000 is a wasteful number, since it uses less digits than its factorization.

28794544000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2785 (or 2763 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 43.

The spelling of 28794544000 in words is "twenty-eight billion, seven hundred ninety-four million, five hundred forty-four thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 320 400 500 640 800 1000 1063 1600 1693 2000 2126 3200 3386 4000 4252 5315 6772 8000 8465 8504 10630 13544 16000 16930 17008 21260 26575 27088 33860 34016 42325 42520 53150 54176 67720 68032 84650 85040 106300 108352 132875 135440 136064 169300 170080 211625 212600 216704 265750 270880 338600 340160 423250 425200 531500 541760 677200 680320 846500 850400 1063000 1083520 1354400 1693000 1700800 1799659 2126000 2708800 3386000 3401600 3599318 4252000 5417600 6772000 7198636 8504000 8998295 13544000 14397272 17008000 17996590 27088000 28794544 35993180 44991475 57589088 71986360 89982950 115178176 143972720 179965900 224957375 230356352 287945440 359931800 449914750 575890880 719863600 899829500 1151781760 1439727200 1799659000 2879454400 3599318000 5758908800 7198636000 14397272000 28794544000