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28975104 = 21333131
BaseRepresentation
bin110111010001…
…0000000000000
32000112002101000
41232202000000
524404200404
62513012000
7501166344
oct156420000
960462330
1028975104
11153a0474
129854000
136006642
143bc3624
152825339
hex1ba2000

28975104 has 112 divisors (see below), whose sum is σ = 86502240. Its totient is φ = 9584640.

The previous prime is 28975103. The next prime is 28975109. The reversal of 28975104 is 40157982.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nialpdrome in base 12.

It is not an unprimeable number, because it can be changed into a prime (28975103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 221119 + ... + 221249.

Almost surely, 228975104 is an apocalyptic number.

28975104 is a gapful number since it is divisible by the number (24) 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 28975104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43251120).

28975104 is an abundant number, since it is smaller than the sum of its proper divisors (57527136).

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

28975104 is an equidigital number, since it uses as much as digits as its factorization.

28975104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 28975104 is about 5382.8527752485. The cubic root of 28975104 is about 307.1437396972.

It can be divided in two parts, 2897 and 5104, that added together give a triangular number (8001 = T126).

The spelling of 28975104 in words is "twenty-eight million, nine hundred seventy-five thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 131 144 192 216 256 262 288 384 393 432 512 524 576 768 786 864 1024 1048 1152 1179 1536 1572 1728 2048 2096 2304 2358 3072 3144 3456 3537 4096 4192 4608 4716 6144 6288 6912 7074 8192 8384 9216 9432 12288 12576 13824 14148 16768 18432 18864 24576 25152 27648 28296 33536 36864 37728 50304 55296 56592 67072 73728 75456 100608 110592 113184 134144 150912 201216 221184 226368 268288 301824 402432 452736 536576 603648 804864 905472 1073152 1207296 1609728 1810944 2414592 3219456 3621888 4829184 7243776 9658368 14487552 28975104