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28563216 = 24311471151
BaseRepresentation
bin110110011110…
…1011100010000
31222202011100220
41230331130100
524303010331
62500113040
7464532453
oct154753420
958664326
1028563216
1115139a70
129695780
135bc1016
143b1749a
152793296
hex1b3d710

28563216 has 80 divisors (see below), whose sum is σ = 82280448. Its totient is φ = 8464000.

The previous prime is 28563211. The next prime is 28563253. The reversal of 28563216 is 61236582.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (28563211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24241 + ... + 25391.

Almost surely, 228563216 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 28563216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41140224).

28563216 is an abundant number, since it is smaller than the sum of its proper divisors (53717232).

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

28563216 is a wasteful number, since it uses less digits than its factorization.

28563216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1220 (or 1214 counting only the distinct ones).

The product of its digits is 17280, while the sum is 33.

The square root of 28563216 is about 5344.4565673228. The cubic root of 28563216 is about 305.6814147639.

Adding to 28563216 its reverse (61236582), we get a palindrome (89799798).

The spelling of 28563216 in words is "twenty-eight million, five hundred sixty-three thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 47 48 66 88 94 132 141 176 188 264 282 376 517 528 564 752 1034 1128 1151 1551 2068 2256 2302 3102 3453 4136 4604 6204 6906 8272 9208 12408 12661 13812 18416 24816 25322 27624 37983 50644 54097 55248 75966 101288 108194 151932 162291 202576 216388 303864 324582 432776 595067 607728 649164 865552 1190134 1298328 1785201 2380268 2596656 3570402 4760536 7140804 9521072 14281608 28563216