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28951205328 = 2434106920897
BaseRepresentation
bin11010111101101000…
…000101010111010000
32202201122210121120000
4122331220011113100
5433243002032303
621144444450000
72043303120303
oct327550052720
982648717500
1028951205328
1111307223081
12573b849900
132965002336
141589038b3a
15b46a09da3
hex6bda055d0

28951205328 has 100 divisors (see below), whose sum is σ = 83875585860. Its totient is φ = 9640912896.

The previous prime is 28951205317. The next prime is 28951205351. The reversal of 28951205328 is 82350215982.

28951205328 is a `hidden beast` number, since 2 + 8 + 95 + 1 + 20 + 532 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 15363106704 + 13588098624 = 123948^2 + 116568^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1374976 + ... + 1395872.

Almost surely, 228951205328 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 28951205328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41937792930).

28951205328 is an abundant number, since it is smaller than the sum of its proper divisors (54924380532).

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

28951205328 is a wasteful number, since it uses less digits than its factorization.

28951205328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21986 (or 21971 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

The spelling of 28951205328 in words is "twenty-eight billion, nine hundred fifty-one million, two hundred five thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 324 432 648 1069 1296 2138 3207 4276 6414 8552 9621 12828 17104 19242 20897 25656 28863 38484 41794 51312 57726 62691 76968 83588 86589 115452 125382 153936 167176 173178 188073 230904 250764 334352 346356 376146 461808 501528 564219 692712 752292 1003056 1128438 1385424 1504584 1692657 2256876 3009168 3385314 4513752 6770628 9027504 13541256 22338893 27082512 44677786 67016679 89355572 134033358 178711144 201050037 268066716 357422288 402100074 536133432 603150111 804200148 1072266864 1206300222 1608400296 1809450333 2412600444 3216800592 3618900666 4825200888 7237801332 9650401776 14475602664 28951205328