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28329758208 = 29333166107
BaseRepresentation
bin11010011000100101…
…011100111000000000
32201010100102211101000
4122120211130320000
5431004404230313
621003045012000
72022015654153
oct323045347000
981110384330
1028329758208
1111018456714
1255a76b4000
13289633774b
14152a6abc9a
15b0c1a2673
hex69895ce00

28329758208 has 160 divisors (see below), whose sum is σ = 86564459520. Its totient is φ = 9138493440.

The previous prime is 28329758207. The next prime is 28329758263. The reversal of 28329758208 is 80285792382.

It is a happy number.

28329758208 is a `hidden beast` number, since 28 + 32 + 9 + 7 + 582 + 0 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28329758203) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 395491 + ... + 461597.

It is an arithmetic number, because the mean of its divisors is an integer number (541027872).

Almost surely, 228329758208 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 28329758208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43282229760).

28329758208 is an abundant number, since it is smaller than the sum of its proper divisors (58234701312).

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

28329758208 is an equidigital number, since it uses as much as digits as its factorization.

28329758208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66165 (or 66143 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 54.

The spelling of 28329758208 in words is "twenty-eight billion, three hundred twenty-nine million, seven hundred fifty-eight thousand, two hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 31 32 36 48 54 62 64 72 93 96 108 124 128 144 186 192 216 248 256 279 288 372 384 432 496 512 558 576 744 768 837 864 992 1116 1152 1488 1536 1674 1728 1984 2232 2304 2976 3348 3456 3968 4464 4608 5952 6696 6912 7936 8928 11904 13392 13824 15872 17856 23808 26784 35712 47616 53568 66107 71424 107136 132214 142848 198321 214272 264428 396642 428544 528856 594963 793284 1057712 1189926 1586568 1784889 2049317 2115424 2379852 3173136 3569778 4098634 4230848 4759704 6147951 6346272 7139556 8197268 8461696 9519408 12295902 12692544 14279112 16394536 16923392 18443853 19038816 24591804 25385088 28558224 32789072 33846784 36887706 38077632 49183608 50770176 55331559 57116448 65578144 73775412 76155264 98367216 101540352 110663118 114232896 131156288 147550824 152310528 196734432 221326236 228465792 262312576 295101648 304621056 393468864 442652472 456931584 524625152 590203296 786937728 885304944 913863168 1049250304 1180406592 1573875456 1770609888 2360813184 3147750912 3541219776 4721626368 7082439552 9443252736 14164879104 28329758208