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28059145560 = 23325571136501
BaseRepresentation
bin11010001000011101…
…001001010101011000
32200102111020021121100
4122020131021111120
5424431120124220
620520140511400
72012221542045
oct321035112530
980374207540
1028059145560
11109997243a6
125530b4b560
132852258b14
1415027881cc
15ae354ad90
hex688749558

28059145560 has 96 divisors (see below), whose sum is σ = 91352598480. Its totient is φ = 7469280000.

The previous prime is 28059145553. The next prime is 28059145579. The reversal of 28059145560 is 6554195082.

28059145560 is a `hidden beast` number, since 2 + 8 + 0 + 5 + 91 + 4 + 556 + 0 = 666.

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, 137310 + ... + 273810.

Almost surely, 228059145560 is an apocalyptic number.

28059145560 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 28059145560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45676299240).

28059145560 is an abundant number, since it is smaller than the sum of its proper divisors (63293452920).

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

28059145560 is a wasteful number, since it uses less digits than its factorization.

28059145560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137089 (or 137082 counting only the distinct ones).

The product of its (nonzero) digits is 432000, while the sum is 45.

The spelling of 28059145560 in words is "twenty-eight billion, fifty-nine million, one hundred forty-five thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 571 1142 1713 2284 2855 3426 4568 5139 5710 6852 8565 10278 11420 13704 17130 20556 22840 25695 34260 41112 51390 68520 102780 136501 205560 273002 409503 546004 682505 819006 1092008 1228509 1365010 1638012 2047515 2457018 2730020 3276024 4095030 4914036 5460040 6142545 8190060 9828072 12285090 16380120 24570180 49140360 77942071 155884142 233826213 311768284 389710355 467652426 623536568 701478639 779420710 935304852 1169131065 1402957278 1558841420 1870609704 2338262130 2805914556 3117682840 3507393195 4676524260 5611829112 7014786390 9353048520 14029572780 28059145560