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28812672 = 27347397
BaseRepresentation
bin110110111101…
…0010110000000
32000012211120000
41231322112000
524334001142
62505320000
7466621650
oct155722600
960184500
1028812672
111529a429
129796000
135c7a725
143b80360
1527e214c
hex1b7a580

28812672 has 160 divisors (see below), whose sum is σ = 98242320. Its totient is φ = 8211456.

The previous prime is 28812659. The next prime is 28812673. The reversal of 28812672 is 27621882.

It is a happy number.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28812673) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 72378 + ... + 72774.

Almost surely, 228812672 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 28812672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49121160).

28812672 is an abundant number, since it is smaller than the sum of its proper divisors (69429648).

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

28812672 is an equidigital number, since it uses as much as digits as its factorization.

28812672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 430 (or 409 counting only the distinct ones).

The product of its digits is 21504, while the sum is 36.

The square root of 28812672 is about 5367.7436600494. The cubic root of 28812672 is about 306.5687231854.

The spelling of 28812672 in words is "twenty-eight million, eight hundred twelve thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 64 72 81 84 96 108 112 126 128 144 162 168 189 192 216 224 252 288 324 336 378 384 397 432 448 504 567 576 648 672 756 794 864 896 1008 1134 1152 1191 1296 1344 1512 1588 1728 2016 2268 2382 2592 2688 2779 3024 3176 3456 3573 4032 4536 4764 5184 5558 6048 6352 7146 8064 8337 9072 9528 10368 10719 11116 12096 12704 14292 16674 18144 19056 21438 22232 24192 25011 25408 28584 32157 33348 36288 38112 42876 44464 50022 50816 57168 64314 66696 72576 75033 76224 85752 88928 100044 114336 128628 133392 150066 152448 171504 177856 200088 225099 228672 257256 266784 300132 343008 355712 400176 450198 457344 514512 533568 600264 686016 800352 900396 1029024 1067136 1200528 1372032 1600704 1800792 2058048 2401056 3201408 3601584 4116096 4802112 7203168 9604224 14406336 28812672