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28951915968 = 263346336187
BaseRepresentation
bin11010111101101010…
…110010110111000000
32202201201010201101000
4122331222302313000
5433243142302333
621144512012000
72043312140163
oct327552626700
982651121330
1028951915968
1111307668a88
12573bb31000
1329651c0931
141589181ada
15b46aea713
hex6bdab2dc0

28951915968 has 112 divisors (see below), whose sum is σ = 85299458560. Its totient is φ = 9629528832.

The previous prime is 28951915939. The next prime is 28951915973. The reversal of 28951915968 is 86951915982.

28951915968 is a `hidden beast` number, since 2 + 8 + 9 + 519 + 1 + 59 + 68 = 666.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 781971 + ... + 818157.

Almost surely, 228951915968 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 28951915968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42649729280).

28951915968 is an abundant number, since it is smaller than the sum of its proper divisors (56347542592).

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

28951915968 is a wasteful number, since it uses less digits than its factorization.

28951915968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36671 (or 36655 counting only the distinct ones).

The product of its digits is 13996800, while the sum is 63.

The spelling of 28951915968 in words is "twenty-eight billion, nine hundred fifty-one million, nine hundred fifteen thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 144 192 216 288 432 463 576 864 926 1389 1728 1852 2778 3704 4167 5556 7408 8334 11112 12501 14816 16668 22224 25002 29632 33336 36187 44448 50004 66672 72374 88896 100008 108561 133344 144748 200016 217122 266688 289496 325683 400032 434244 578992 651366 800064 868488 977049 1157984 1302732 1736976 1954098 2315968 2605464 3473952 3908196 5210928 6947904 7816392 10421856 15632784 16754581 20843712 31265568 33509162 50263743 62531136 67018324 100527486 134036648 150791229 201054972 268073296 301582458 402109944 452373687 536146592 603164916 804219888 904747374 1072293184 1206329832 1608439776 1809494748 2412659664 3216879552 3618989496 4825319328 7237978992 9650638656 14475957984 28951915968