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28864512 = 2123529
BaseRepresentation
bin110111000011…
…1000000000000
32000022110200000
41232013000000
524342131022
62510400000
7500226045
oct156070000
960273600
1028864512
1115325376
129800000
135c981c1
143b951cc
1528026ac
hex1b87000

28864512 has 156 divisors (see below), whose sum is σ = 89445720. Its totient is φ = 9289728.

The previous prime is 28864499. The next prime is 28864519. The reversal of 28864512 is 21546882.

28864512 is a `hidden beast` number, since 2 + 8 + 8 + 645 + 1 + 2 = 666.

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 a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28864519) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 995314 + ... + 995342.

It is an arithmetic number, because the mean of its divisors is an integer number (573370).

Almost surely, 228864512 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 28864512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44722860).

28864512 is an abundant number, since it is smaller than the sum of its proper divisors (60581208).

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

28864512 is an frugal number, since it uses more digits than its factorization.

28864512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68 (or 34 counting only the distinct ones).

The product of its digits is 30720, while the sum is 36.

The square root of 28864512 is about 5372.5703345792. The cubic root of 28864512 is about 306.7524733632.

The spelling of 28864512 in words is "twenty-eight million, eight hundred sixty-four thousand, five hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 29 32 36 48 54 58 64 72 81 87 96 108 116 128 144 162 174 192 216 232 243 256 261 288 324 348 384 432 464 486 512 522 576 648 696 768 783 864 928 972 1024 1044 1152 1296 1392 1536 1566 1728 1856 1944 2048 2088 2304 2349 2592 2784 3072 3132 3456 3712 3888 4096 4176 4608 4698 5184 5568 6144 6264 6912 7047 7424 7776 8352 9216 9396 10368 11136 12288 12528 13824 14094 14848 15552 16704 18432 18792 20736 22272 25056 27648 28188 29696 31104 33408 36864 37584 41472 44544 50112 55296 56376 59392 62208 66816 75168 82944 89088 100224 110592 112752 118784 124416 133632 150336 165888 178176 200448 225504 248832 267264 300672 331776 356352 400896 451008 497664 534528 601344 801792 902016 995328 1069056 1202688 1603584 1804032 2405376 3207168 3608064 4810752 7216128 9621504 14432256 28864512