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28385786440 = 235111913732473
BaseRepresentation
bin11010011011111011…
…001011101001001000
32201021020212100122201
4122123323023221020
5431113230131230
621012405525544
72023266126604
oct323373135110
981236770581
1028385786440
1111047044540
1256024138b4
1328a4b2394b
141533cd4504
15b1206d5ca
hex69becba48

28385786440 has 128 divisors (see below), whose sum is σ = 73424361600. Its totient is φ = 9767761920.

The previous prime is 28385786413. The next prime is 28385786479. The reversal of 28385786440 is 4468758382.

It is a Harshad number since it is a multiple of its sum of digits (55).

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 11477044 + ... + 11479516.

It is an arithmetic number, because the mean of its divisors is an integer number (573627825).

Almost surely, 228385786440 is an apocalyptic number.

28385786440 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 28385786440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36712180800).

28385786440 is an abundant number, since it is smaller than the sum of its proper divisors (45038575160).

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

28385786440 is a wasteful number, since it uses less digits than its factorization.

28385786440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3887 (or 3883 counting only the distinct ones).

The product of its (nonzero) digits is 10321920, while the sum is 55.

The spelling of 28385786440 in words is "twenty-eight billion, three hundred eighty-five million, seven hundred eighty-six thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 11 19 20 22 38 40 44 55 76 88 95 110 152 190 209 220 380 418 440 760 836 1045 1373 1672 2090 2473 2746 4180 4946 5492 6865 8360 9892 10984 12365 13730 15103 19784 24730 26087 27203 27460 30206 46987 49460 52174 54406 54920 60412 75515 93974 98920 104348 108812 120824 130435 136015 151030 187948 208696 217624 234935 260870 272030 286957 302060 375896 469870 516857 521740 544060 573914 604120 939740 1033714 1043480 1088120 1147828 1434785 1879480 2067428 2295656 2584285 2869570 3395429 4134856 5168570 5739140 6790858 10337140 11478280 13581716 16977145 20674280 27163432 33954290 37349719 64513151 67908580 74699438 129026302 135817160 149398876 186748595 258052604 298797752 322565755 373497190 516105208 645131510 709644661 746994380 1290263020 1419289322 1493988760 2580526040 2838578644 3548223305 5677157288 7096446610 14192893220 28385786440