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28645009128 = 2335113130399
BaseRepresentation
bin11010101011011000…
…000010011011101000
32201221022122020100000
4122223120002123220
5432131110243003
621054225543000
72032564363101
oct325330023350
981838566300
1028645009128
111116a3a736a
1256751a4a60
132916745158
14155a4d13a8
15b29bc51a3
hex6ab6026e8

28645009128 has 96 divisors (see below), whose sum is σ = 81166176000. Its totient is φ = 9463765248.

The previous prime is 28645009123. The next prime is 28645009147. The reversal of 28645009128 is 82190054682.

It is not an unprimeable number, because it can be changed into a prime (28645009123) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 154473 + ... + 284871.

It is an arithmetic number, because the mean of its divisors is an integer number (845481000).

Almost surely, 228645009128 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 28645009128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40583088000).

28645009128 is an abundant number, since it is smaller than the sum of its proper divisors (52521166872).

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

28645009128 is a wasteful number, since it uses less digits than its factorization.

28645009128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130533 (or 130517 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The spelling of 28645009128 in words is "twenty-eight billion, six hundred forty-five million, nine thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 113 162 216 226 243 324 339 452 486 648 678 904 972 1017 1356 1944 2034 2712 3051 4068 6102 8136 9153 12204 18306 24408 27459 36612 54918 73224 109836 130399 219672 260798 391197 521596 782394 1043192 1173591 1564788 2347182 3129576 3520773 4694364 7041546 9388728 10562319 14083092 14735087 21124638 28166184 29470174 31686957 42249276 44205261 58940348 63373914 84498552 88410522 117880696 126747828 132615783 176821044 253495656 265231566 353642088 397847349 530463132 795694698 1060926264 1193542047 1591389396 2387084094 3182778792 3580626141 4774168188 7161252282 9548336376 14322504564 28645009128