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27028087920 = 2432565357487
BaseRepresentation
bin11001001010111111…
…111110010001110000
32120202122010010102100
4121022333332101300
5420323142303140
620225545420400
71644531646101
oct311277762160
976678103370
1027028087920
111050a718549
1252a379a700
132719766442
1414458743a8
15a82c82530
hex64affe470

27028087920 has 120 divisors (see below), whose sum is σ = 90909913536. Its totient is φ = 7196327424.

The previous prime is 27028087907. The next prime is 27028087951. The reversal of 27028087920 is 2978082072.

It is a happy number.

27028087920 is a `hidden beast` number, since 270 + 280 + 87 + 9 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×270280879202 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 441417 + ... + 498903.

Almost surely, 227028087920 is an apocalyptic number.

27028087920 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 27028087920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45454956768).

27028087920 is an abundant number, since it is smaller than the sum of its proper divisors (63881825616).

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

27028087920 is a wasteful number, since it uses less digits than its factorization.

27028087920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58159 (or 58150 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 45.

The spelling of 27028087920 in words is "twenty-seven billion, twenty-eight million, eighty-seven thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 653 720 1306 1959 2612 3265 3918 5224 5877 6530 7836 9795 10448 11754 13060 15672 19590 23508 26120 29385 31344 39180 47016 52240 57487 58770 78360 94032 114974 117540 156720 172461 229948 235080 287435 344922 459896 470160 517383 574870 689844 862305 919792 1034766 1149740 1379688 1724610 2069532 2299480 2586915 2759376 3449220 4139064 4598960 5173830 6898440 8278128 10347660 13796880 20695320 37539011 41390640 75078022 112617033 150156044 187695055 225234066 300312088 337851099 375390110 450468132 563085165 600624176 675702198 750780220 900936264 1126170330 1351404396 1501560440 1689255495 1801872528 2252340660 2702808792 3003120880 3378510990 4504681320 5405617584 6757021980 9009362640 13514043960 27028087920