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28884442356 = 223271110995597
BaseRepresentation
bin11010111001101001…
…011001110011110100
32202120000011200222100
4122321221121303310
5433123404123411
621134101502100
72041532465130
oct327151316364
982500150870
1028884442356
1111282573070
125721411930
132954228013
14158021a3c0
15b40c1d456
hex6b9a59cf4

28884442356 has 144 divisors (see below), whose sum is σ = 91865854080. Its totient is φ = 7433544960.

The previous prime is 28884442343. The next prime is 28884442361. The reversal of 28884442356 is 65324448882.

28884442356 is a `hidden beast` number, since 288 + 8 + 4 + 4 + 4 + 2 + 356 = 666.

It is a super-2 number, since 2×288844423562 (a number of 22 digits) contains 22 as substring.

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, 254350 + ... + 349946.

It is an arithmetic number, because the mean of its divisors is an integer number (637957320).

Almost surely, 228884442356 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 28884442356, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45932927040).

28884442356 is an abundant number, since it is smaller than the sum of its proper divisors (62981411724).

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

28884442356 is a wasteful number, since it uses less digits than its factorization.

28884442356 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95734 (or 95729 counting only the distinct ones).

The product of its digits is 11796480, while the sum is 54.

The spelling of 28884442356 in words is "twenty-eight billion, eight hundred eighty-four million, four hundred forty-two thousand, three hundred fifty-six".

Divisors: 1 2 3 4 6 7 9 11 12 14 18 21 22 28 33 36 42 44 63 66 77 84 99 109 126 132 154 198 218 231 252 308 327 396 436 462 654 693 763 924 981 1199 1308 1386 1526 1962 2289 2398 2772 3052 3597 3924 4578 4796 6867 7194 8393 9156 10791 13734 14388 16786 21582 25179 27468 33572 43164 50358 75537 95597 100716 151074 191194 286791 302148 382388 573582 669179 860373 1051567 1147164 1338358 1720746 2007537 2103134 2676716 3154701 3441492 4015074 4206268 6022611 6309402 7360969 8030148 9464103 10420073 12045222 12618804 14721938 18928206 20840146 22082907 24090444 29443876 31260219 37856412 41680292 44165814 62520438 66248721 72940511 88331628 93780657 114620803 125040876 132497442 145881022 187561314 218821533 229241606 264994884 291762044 343862409 375122628 437643066 458483212 656464599 687724818 802345621 875286132 1031587227 1312929198 1375449636 1604691242 2063174454 2407036863 2625858396 3209382484 4126348908 4814073726 7221110589 9628147452 14442221178 28884442356