Search a number
-
+
28601985825 = 32527197313093
BaseRepresentation
bin11010101000110011…
…111010101100100001
32201211022200102110100
4122220303322230201
5432034102021300
621050051453013
72031532603530
oct325063725441
981738612410
1028601985825
1111148091316
1256628b7169
13290a86048a
1415548d2317
15b26027700
hex6a8cfab21

28601985825 has 144 divisors (see below), whose sum is σ = 62478282880. Its totient is φ = 12216407040.

The previous prime is 28601985821. The next prime is 28601985829. The reversal of 28601985825 is 52858910682.

It is a happy number.

28601985825 is a `hidden beast` number, since 2 + 8 + 601 + 9 + 8 + 5 + 8 + 25 = 666.

It is an interprime number because it is at equal distance from previous prime (28601985821) and next prime (28601985829).

It is not a de Polignac number, because 28601985825 - 22 = 28601985821 is a prime.

It is not an unprimeable number, because it can be changed into a prime (28601985821) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2177979 + ... + 2191071.

Almost surely, 228601985825 is an apocalyptic number.

28601985825 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

28601985825 is an abundant number, since it is smaller than the sum of its proper divisors (33876297055).

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

28601985825 is a wasteful number, since it uses less digits than its factorization.

28601985825 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13208 (or 13200 counting only the distinct ones).

The product of its (nonzero) digits is 2764800, while the sum is 54.

The spelling of 28601985825 in words is "twenty-eight billion, six hundred one million, nine hundred eighty-five thousand, eight hundred twenty-five".

Divisors: 1 3 5 7 9 15 19 21 25 35 45 57 63 73 75 95 105 133 171 175 219 225 285 315 365 399 475 511 525 657 665 855 1095 1197 1387 1425 1533 1575 1825 1995 2555 3285 3325 4161 4275 4599 5475 5985 6935 7665 9709 9975 12483 12775 13093 16425 20805 22995 29127 29925 34675 38325 39279 48545 62415 65465 87381 91651 104025 114975 117837 145635 196395 242725 248767 274953 312075 327325 436905 458255 589185 728175 746301 824859 955789 981975 1243835 1374765 1741369 2184525 2238903 2291275 2867367 2945925 3731505 4124295 4778945 5224107 6219175 6690523 6873825 8602101 8706845 11194515 14336835 15672321 18159991 18657525 20071569 20621475 23894725 26120535 33452615 43010505 43534225 54479973 55972575 60214707 71684175 78361605 90799955 100357845 127119937 130602675 163439919 167263075 215052525 272399865 301073535 381359811 391808025 453999775 501789225 635599685 817199595 1144079433 1361999325 1505367675 1906799055 3177998425 4085997975 5720397165 9533995275 28601985825