Search a number
-
+
28971310648 = 23717293133851
BaseRepresentation
bin11010111110110100…
…110001111000111000
32202210001122001212111
4122332310301320320
5433313123420043
621150443422104
72043636035350
oct327664617070
982701561774
1028971310648
1111317605545
125746524934
132969221687
14158b98db60
15b4867c09d
hex6bed31e38

28971310648 has 128 divisors (see below), whose sum is σ = 70195507200. Its totient is φ = 10918656000.

The previous prime is 28971310639. The next prime is 28971310649. The reversal of 28971310648 is 84601317982.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28971310649) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 838923 + ... + 872773.

It is an arithmetic number, because the mean of its divisors is an integer number (548402400).

Almost surely, 228971310648 is an apocalyptic number.

28971310648 is a gapful number since it is divisible by the number (28) 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 28971310648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35097753600).

28971310648 is an abundant number, since it is smaller than the sum of its proper divisors (41224196552).

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

28971310648 is a wasteful number, since it uses less digits than its factorization.

28971310648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33941 (or 33937 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 49.

The spelling of 28971310648 in words is "twenty-eight billion, nine hundred seventy-one million, three hundred ten thousand, six hundred forty-eight".

Divisors: 1 2 4 7 8 14 17 28 29 31 34 56 58 62 68 116 119 124 136 203 217 232 238 248 406 434 476 493 527 812 868 899 952 986 1054 1624 1736 1798 1972 2108 3451 3596 3689 3944 4216 6293 6902 7192 7378 12586 13804 14756 15283 25172 27608 29512 30566 33851 50344 61132 67702 106981 122264 135404 213962 236957 270808 427924 473914 575467 855848 947828 981679 1049381 1150934 1895656 1963358 2098762 2301868 3926716 4028269 4197524 4603736 6871753 7345667 7853432 8056538 8395048 13743506 14691334 16113076 16688543 17839477 27487012 29382668 30432049 32226152 33377086 35678954 54974024 58765336 60864098 66754172 71357908 116819801 121728196 124876339 133508344 142715816 213024343 233639602 243456392 249752678 426048686 467279204 499505356 517344833 852097372 934558408 999010712 1034689666 1704194744 2069379332 3621413831 4138758664 7242827662 14485655324 28971310648