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27728778320 = 24531103108553
BaseRepresentation
bin11001110100110000…
…111001010001010000
32122120110120212221122
4121310300321101100
5423242031401240
620423255541412
72001100504205
oct316460712120
978513525848
1027728778320
111083a199621
12545a38a868
1327cb987b49
1414b094bcac
15ac453e4b5
hex674c39450

27728778320 has 80 divisors (see below), whose sum is σ = 67195794432. Its totient is φ = 10629411840.

The previous prime is 27728778313. The next prime is 27728778401. The reversal of 27728778320 is 2387782772.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 201164 + ... + 309716.

Almost surely, 227728778320 is an apocalyptic number.

27728778320 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 27728778320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33597897216).

27728778320 is an abundant number, since it is smaller than the sum of its proper divisors (39467016112).

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

27728778320 is a wasteful number, since it uses less digits than its factorization.

27728778320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108700 (or 108694 counting only the distinct ones).

The product of its (nonzero) digits is 3687936, while the sum is 53.

The spelling of 27728778320 in words is "twenty-seven billion, seven hundred twenty-eight million, seven hundred seventy-eight thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 31 40 62 80 103 124 155 206 248 310 412 496 515 620 824 1030 1240 1648 2060 2480 3193 4120 6386 8240 12772 15965 25544 31930 51088 63860 108553 127720 217106 255440 434212 542765 868424 1085530 1736848 2171060 3365143 4342120 6730286 8684240 11180959 13460572 16825715 22361918 26921144 33651430 44723836 53842288 55904795 67302860 89447672 111809590 134605720 178895344 223619180 269211440 346609729 447238360 693219458 894476720 1386438916 1733048645 2772877832 3466097290 5545755664 6932194580 13864389160 27728778320