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28418131800 = 2333525262617
BaseRepresentation
bin11010011101110110…
…100100011101011000
32201100111201200011000
4122131312210131120
5431200020204200
621015523105000
72024141064132
oct323566443530
981314650130
1028418131800
1111063327043
125611212160
1328ab73a306
141538314052
15b14d0c300
hex69dda4758

28418131800 has 96 divisors (see below), whose sum is σ = 97884694800. Its totient is φ = 7578167040.

The previous prime is 28418131789. The next prime is 28418131801. The reversal of 28418131800 is 813181482.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28418131801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2625909 + ... + 2636708.

Almost surely, 228418131800 is an apocalyptic number.

28418131800 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

28418131800 is an abundant number, since it is smaller than the sum of its proper divisors (69466563000).

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

28418131800 is a wasteful number, since it uses less digits than its factorization.

28418131800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5262642 (or 5262627 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 36.

The spelling of 28418131800 in words is "twenty-eight billion, four hundred eighteen million, one hundred thirty-one thousand, eight hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 27 30 36 40 45 50 54 60 72 75 90 100 108 120 135 150 180 200 216 225 270 300 360 450 540 600 675 900 1080 1350 1800 2700 5400 5262617 10525234 15787851 21050468 26313085 31575702 42100936 47363553 52626170 63151404 78939255 94727106 105252340 126302808 131565425 142090659 157878510 189454212 210504680 236817765 263130850 284181318 315757020 378908424 394696275 473635530 526261700 568362636 631514040 710453295 789392550 947271060 1052523400 1136725272 1184088825 1420906590 1578785100 1894542120 2368177650 2841813180 3157570200 3552266475 4736355300 5683626360 7104532950 9472710600 14209065900 28418131800