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28665216 = 2732149167
BaseRepresentation
bin110110101011…
…0010110000000
31222221100021200
41231112112000
524314241331
62502221200
7465436026
oct155262600
958840250
1028665216
11151a9668
129724800
135c28588
143b42716
1527b35e6
hex1b56580

28665216 has 96 divisors (see below), whose sum is σ = 83538000. Its totient is φ = 9434112.

The previous prime is 28665211. The next prime is 28665223. The reversal of 28665216 is 61256682.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28665211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 171565 + ... + 171731.

Almost surely, 228665216 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 28665216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41769000).

28665216 is an abundant number, since it is smaller than the sum of its proper divisors (54872784).

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

28665216 is a wasteful number, since it uses less digits than its factorization.

28665216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 336 (or 321 counting only the distinct ones).

The product of its digits is 34560, while the sum is 36.

The square root of 28665216 is about 5353.9906611798. The cubic root of 28665216 is about 306.0448479698.

The spelling of 28665216 in words is "twenty-eight million, six hundred sixty-five thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 149 167 192 288 298 334 384 447 501 576 596 668 894 1002 1152 1192 1336 1341 1503 1788 2004 2384 2672 2682 3006 3576 4008 4768 5344 5364 6012 7152 8016 9536 10688 10728 12024 14304 16032 19072 21376 21456 24048 24883 28608 32064 42912 48096 49766 57216 64128 74649 85824 96192 99532 149298 171648 192384 199064 223947 298596 398128 447894 597192 796256 895788 1194384 1592512 1791576 2388768 3185024 3583152 4777536 7166304 9555072 14332608 28665216