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28067350752 = 2532727750261
BaseRepresentation
bin11010001000111100…
…011100100011100000
32200110001200011000100
4122020330130203200
5424440220211002
620521032422400
72012351354640
oct321074344340
980401604010
1028067350752
11109a3319051
125533847a00
132853b6c76c
1415038c2520
15ae411c11c
hex688f1c8e0

28067350752 has 144 divisors (see below), whose sum is σ = 91550021472. Its totient is φ = 7990133760.

The previous prime is 28067350747. The next prime is 28067350781. The reversal of 28067350752 is 25705376082.

28067350752 is a `hidden beast` number, since 2 + 80 + 67 + 3 + 507 + 5 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a junction number, because it is equal to n+sod(n) for n = 28067350698 and 28067350707.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 533302 + ... + 583562.

It is an arithmetic number, because the mean of its divisors is an integer number (635764038).

Almost surely, 228067350752 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 28067350752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45775010736).

28067350752 is an abundant number, since it is smaller than the sum of its proper divisors (63482670720).

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

28067350752 is a wasteful number, since it uses less digits than its factorization.

28067350752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50561 (or 50550 counting only the distinct ones).

The product of its (nonzero) digits is 705600, while the sum is 45.

The spelling of 28067350752 in words is "twenty-eight billion, sixty-seven million, three hundred fifty thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 72 84 96 112 126 144 168 224 252 277 288 336 504 554 672 831 1008 1108 1662 1939 2016 2216 2493 3324 3878 4432 4986 5817 6648 7756 8864 9972 11634 13296 15512 17451 19944 23268 26592 31024 34902 39888 46536 50261 62048 69804 79776 93072 100522 139608 150783 186144 201044 279216 301566 351827 402088 452349 558432 603132 703654 804176 904698 1055481 1206264 1407308 1608352 1809396 2110962 2412528 2814616 3166443 3618792 4221924 4825056 5629232 6332886 7237584 8443848 11258464 12665772 13922297 14475168 16887696 25331544 27844594 33775392 41766891 50663088 55689188 83533782 97456079 101326176 111378376 125300673 167067564 194912158 222756752 250601346 292368237 334135128 389824316 445513504 501202692 584736474 668270256 779648632 877104711 1002405384 1169472948 1336540512 1559297264 1754209422 2004810768 2338945896 3118594528 3508418844 4009621536 4677891792 7016837688 9355783584 14033675376 28067350752