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28797933979782 = 232111967114253033
BaseRepresentation
bin1101000110001000010101…
…01000000000100010000110
310202222001111112101221120100
412203010022220000202012
512233311132044323112
6141125331020344530
76031403435661462
oct643041250004206
9122861445357510
1028797933979782
1191a3153a75440
1232912959a5146
13130b830b02c96
14717b826dd4a2
1534e178a392dc
hex1a310aa00886

28797933979782 has 96 divisors (see below), whose sum is σ = 72719771080320. Its totient is φ = 8143956120960.

The previous prime is 28797933979733. The next prime is 28797933979799.

28797933979782 is a `hidden beast` number, since 2 + 8 + 79 + 79 + 3 + 397 + 9 + 7 + 82 = 666.

28797933979782 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 28797933979692 and 28797933979701.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 56874463 + ... + 57378570.

It is an arithmetic number, because the mean of its divisors is an integer number (757497615420).

Almost surely, 228797933979782 is an apocalyptic number.

28797933979782 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

28797933979782 is an abundant number, since it is smaller than the sum of its proper divisors (43921837100538).

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

28797933979782 is a wasteful number, since it uses less digits than its factorization.

28797933979782 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114253138 (or 114253135 counting only the distinct ones).

The product of its digits is 36294822144, while the sum is 90.

The spelling of 28797933979782 in words is "twenty-eight trillion, seven hundred ninety-seven billion, nine hundred thirty-three million, nine hundred seventy-nine thousand, seven hundred eighty-two".

Divisors: 1 2 3 6 9 11 18 19 22 33 38 57 66 67 99 114 134 171 198 201 209 342 402 418 603 627 737 1206 1254 1273 1474 1881 2211 2546 3762 3819 4422 6633 7638 11457 13266 14003 22914 28006 42009 84018 126027 252054 114253033 228506066 342759099 685518198 1028277297 1256783363 2056554594 2170807627 2513566726 3770350089 4341615254 6512422881 7540700178 7654953211 11311050267 13024845762 15309906422 19537268643 22622100534 22964859633 23878883897 39074537286 45929719266 47757767794 68894578899 71636651691 84204485321 137789157798 143273303382 145444111009 168408970642 214909955073 252613455963 290888222018 429819910146 436332333027 505226911926 757840367889 872664666054 1308996999081 1515680735778 1599885221099 2617993998162 3199770442198 4799655663297 9599311326594 14398966989891 28797933979782