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28821633192 = 23381149919
BaseRepresentation
bin11010110101111001…
…110011100010101000
32202101121222200000000
4122311321303202220
5433011314230232
621123535343000
72040140561052
oct326571634250
982347880000
1028821633192
1111250073670
125704381a60
132944206531
141575b4a8d2
15b3a46327c
hex6b5e738a8

28821633192 has 144 divisors (see below), whose sum is σ = 88427289600. Its totient is φ = 8733653280.

The previous prime is 28821633187. The next prime is 28821633221. The reversal of 28821633192 is 29133612882.

28821633192 is a `hidden beast` number, since 2 + 8 + 8 + 2 + 1 + 633 + 1 + 9 + 2 = 666.

It is a super-2 number, since 2×288216331922 (a number of 22 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 552409 + ... + 602327.

It is an arithmetic number, because the mean of its divisors is an integer number (614078400).

Almost surely, 228821633192 is an apocalyptic number.

28821633192 is a gapful number since it is divisible by the number (22) 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 28821633192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44213644800).

28821633192 is an abundant number, since it is smaller than the sum of its proper divisors (59605656408).

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

28821633192 is an equidigital number, since it uses as much as digits as its factorization.

28821633192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49960 (or 49935 counting only the distinct ones).

The product of its digits is 248832, while the sum is 45.

The spelling of 28821633192 in words is "twenty-eight billion, eight hundred twenty-one million, six hundred thirty-three thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 27 33 36 44 54 66 72 81 88 99 108 132 162 198 216 243 264 297 324 396 486 594 648 729 792 891 972 1188 1458 1782 1944 2187 2376 2673 2916 3564 4374 5346 5832 6561 7128 8019 8748 10692 13122 16038 17496 21384 24057 26244 32076 48114 49919 52488 64152 72171 96228 99838 144342 149757 192456 199676 288684 299514 399352 449271 549109 577368 599028 898542 1098218 1198056 1347813 1647327 1797084 2196436 2695626 3294654 3594168 4043439 4392872 4941981 5391252 6589308 8086878 9883962 10782504 12130317 13178616 14825943 16173756 19767924 24260634 29651886 32347512 36390951 39535848 44477829 48521268 59303772 72781902 88955658 97042536 109172853 118607544 133433487 145563804 177911316 218345706 266866974 291127608 327518559 355822632 400300461 436691412 533733948 655037118 800600922 873382824 1067467896 1200901383 1310074236 1601201844 2401802766 2620148472 3202403688 3602704149 4803605532 7205408298 9607211064 14410816596 28821633192