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28601780172 = 22371633316311
BaseRepresentation
bin11010101000110011…
…001000011111001100
32201211022021222100120
4122220303020133030
5432034023431142
621050043224540
72031531056130
oct325063103714
981738258316
1028601780172
1111147a60859
125662818150
13290a7ba9a4
14155487b3c0
15b25ed67ec
hex6a8cc87cc

28601780172 has 96 divisors (see below), whose sum is σ = 76983373824. Its totient is φ = 8095982400.

The previous prime is 28601780159. The next prime is 28601780173. The reversal of 28601780172 is 27108710682.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (28601780173) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4528897 + ... + 4535207.

It is an arithmetic number, because the mean of its divisors is an integer number (801910144).

Almost surely, 228601780172 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28601780172, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38491686912).

28601780172 is an abundant number, since it is smaller than the sum of its proper divisors (48381593652).

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

28601780172 is a wasteful number, since it uses less digits than its factorization.

28601780172 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6819 (or 6817 counting only the distinct ones).

The product of its (nonzero) digits is 75264, while the sum is 42.

The spelling of 28601780172 in words is "twenty-eight billion, six hundred one million, seven hundred eighty thousand, one hundred seventy-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 163 326 331 489 652 662 978 993 1141 1324 1956 1986 2282 2317 3423 3972 4564 4634 6311 6846 6951 9268 12622 13692 13902 18933 25244 27804 37866 44177 53953 75732 88354 107906 132531 161859 176708 215812 265062 323718 377671 530124 647436 755342 1028693 1133013 1510684 2057386 2088941 2266026 3086079 4114772 4177882 4532052 6172158 6266823 7200851 8355764 12344316 12533646 14401702 14622587 21602553 25067292 28803404 29245174 43205106 43867761 58490348 86410212 87735522 175471044 340497383 680994766 1021492149 1361989532 2042984298 2383481681 4085968596 4766963362 7150445043 9533926724 14300890086 28601780172