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28463088624 = 24319533471697
BaseRepresentation
bin11010100000100010…
…000100001111110000
32201110122022201022120
4122200202010033300
5431243022313444
621024210434240
72025225155445
oct324042041760
981418281276
1028463088624
1111086742843
125624292980
1328b7b4b099
1415402979cc
15b18c3cb19
hex6a08843f0

28463088624 has 160 divisors (see below), whose sum is σ = 79133863680. Its totient is φ = 8788156416.

The previous prime is 28463088617. The next prime is 28463088761. The reversal of 28463088624 is 42688036482.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16771744 + ... + 16773440.

It is an arithmetic number, because the mean of its divisors is an integer number (494586648).

Almost surely, 228463088624 is an apocalyptic number.

28463088624 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28463088624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39566931840).

28463088624 is an abundant number, since it is smaller than the sum of its proper divisors (50670775056).

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

28463088624 is a wasteful number, since it uses less digits than its factorization.

28463088624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2127 (or 2121 counting only the distinct ones).

The product of its (nonzero) digits is 3538944, while the sum is 51.

The spelling of 28463088624 in words is "twenty-eight billion, four hundred sixty-three million, eighty-eight thousand, six hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 19 24 38 48 53 57 76 106 114 152 159 212 228 304 318 347 424 456 636 694 848 912 1007 1041 1272 1388 1697 2014 2082 2544 2776 3021 3394 4028 4164 5091 5552 6042 6593 6788 8056 8328 10182 12084 13186 13576 16112 16656 18391 19779 20364 24168 26372 27152 32243 36782 39558 40728 48336 52744 55173 64486 73564 79116 81456 89941 96729 105488 110346 128972 147128 158232 179882 193458 220692 257944 269823 294256 316464 349429 359764 386916 441384 515888 539646 588859 698858 719528 773832 882768 1048287 1079292 1177718 1397716 1439056 1547664 1708879 1766577 2096574 2158584 2355436 2795432 3417758 3533154 4193148 4317168 4710872 5126637 5590864 6835516 7066308 8386296 9421744 10253274 11188321 13671032 14132616 16772592 20506548 22376642 27342064 28265232 31209527 33564963 41013096 44753284 62419054 67129926 82026192 89506568 93628581 124838108 134259852 179013136 187257162 249676216 268519704 374514324 499352432 537039408 592981013 749028648 1185962026 1498057296 1778943039 2371924052 3557886078 4743848104 7115772156 9487696208 14231544312 28463088624