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29828902428 = 22331331767021
BaseRepresentation
bin11011110001111100…
…001110111000011100
32211222211100020122000
4123301330032320130
5442042144334203
621411520522300
72104121326053
oct336174167034
984884306560
1029828902428
1111717701986
125945780390
132a74aba330
14162d82b39a
15b98acd4a3
hex6f1f0ee1c

29828902428 has 96 divisors (see below), whose sum is σ = 83546944320. Its totient is φ = 9149034240.

The previous prime is 29828902381. The next prime is 29828902451. The reversal of 29828902428 is 82420982892.

It is a happy number.

29828902428 is a `hidden beast` number, since 298 + 28 + 90 + 242 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 411558 + ... + 478578.

It is an arithmetic number, because the mean of its divisors is an integer number (870280670).

Almost surely, 229828902428 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 29828902428, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41773472160).

29828902428 is an abundant number, since it is smaller than the sum of its proper divisors (53718041892).

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

29828902428 is a wasteful number, since it uses less digits than its factorization.

29828902428 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67364 (or 67356 counting only the distinct ones).

The product of its (nonzero) digits is 2654208, while the sum is 54.

The spelling of 29828902428 in words is "twenty-nine billion, eight hundred twenty-eight million, nine hundred two thousand, four hundred twenty-eight".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 78 108 117 156 234 317 351 468 634 702 951 1268 1404 1902 2853 3804 4121 5706 8242 8559 11412 12363 16484 17118 24726 34236 37089 49452 67021 74178 111267 134042 148356 201063 222534 268084 402126 445068 603189 804252 871273 1206378 1742546 1809567 2412756 2613819 3485092 3619134 5227638 7238268 7841457 10455276 15682914 21245657 23524371 31365828 42491314 47048742 63736971 84982628 94097484 127473942 191210913 254947884 276193541 382421826 552387082 573632739 764843652 828580623 1104774164 1147265478 1657161246 2294530956 2485741869 3314322492 4971483738 7457225607 9942967476 14914451214 29828902428