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28829304231 = 37133292743
BaseRepresentation
bin11010110110010111…
…000100010110100111
32202102011102101200120
4122312113010112213
5433020300213411
621124412013023
72040263020440
oct326627042647
982364371616
1028829304231
1111254432a72
125706a61173
132945991000
141576b862c7
15b3ae7b106
hex6b65c45a7

28829304231 has 96 divisors (see below), whose sum is σ = 49353507840. Its totient is φ = 14662537344.

The previous prime is 28829304227. The next prime is 28829304277. The reversal of 28829304231 is 13240392882.

It is not a de Polignac number, because 28829304231 - 22 = 28829304227 is a prime.

It is a super-2 number, since 2×288293042312 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28829304131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 38800846 + ... + 38801588.

It is an arithmetic number, because the mean of its divisors is an integer number (514099040).

Almost surely, 228829304231 is an apocalyptic number.

28829304231 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

28829304231 is a deficient number, since it is larger than the sum of its proper divisors (20524203609).

28829304231 is an equidigital number, since it uses as much as digits as its factorization.

28829304231 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 850 (or 795 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 42.

The spelling of 28829304231 in words is "twenty-eight billion, eight hundred twenty-nine million, three hundred four thousand, two hundred thirty-one".

Divisors: 1 3 7 13 21 29 39 87 91 169 203 273 377 507 609 743 841 1131 1183 2197 2229 2523 2639 3549 4901 5201 5887 6591 7917 9659 10933 14703 15379 15603 17661 21547 28977 32799 34307 46137 63713 64641 67613 76531 102921 125567 142129 150829 191139 202839 229593 280111 376701 426387 445991 452487 624863 840333 878969 994903 1337973 1632371 1847677 1874589 1960777 2636907 2984709 3641443 4374041 4897113 5543031 5882331 8123219 10924329 11426597 12933739 13122123 24369657 25490101 34279791 38801217 47338759 56862533 76470303 105601847 142016277 170587599 316805541 331371313 739212929 994113939 1372824011 2217638787 4118472033 9609768077 28829304231