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28986552 = 23337191009
BaseRepresentation
bin110111010010…
…0110010111000
32000112200002000
41232210302320
524410032202
62513141000
7501244620
oct156446270
960480060
1028986552
11153a9031
12985a760
13600b90a
143bc7880
15282891c
hex1ba4cb8

28986552 has 128 divisors (see below), whose sum is σ = 96960000. Its totient is φ = 7838208.

The previous prime is 28986541. The next prime is 28986553. The reversal of 28986552 is 25568982.

28986552 is a `hidden beast` number, since 2 + 8 + 98 + 6 + 552 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 28986498 and 28986507.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28986553) 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 31 ways as a sum of consecutive naturals, for example, 28224 + ... + 29232.

It is an arithmetic number, because the mean of its divisors is an integer number (757500).

Almost surely, 228986552 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 28986552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48480000).

28986552 is an abundant number, since it is smaller than the sum of its proper divisors (67973448).

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

28986552 is a wasteful number, since it uses less digits than its factorization.

28986552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1050 (or 1040 counting only the distinct ones).

The product of its digits is 345600, while the sum is 45.

The square root of 28986552 is about 5383.9160468937. The cubic root of 28986552 is about 307.1841849769.

The spelling of 28986552 in words is "twenty-eight million, nine hundred eighty-six thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 19 21 24 27 28 36 38 42 54 56 57 63 72 76 84 108 114 126 133 152 168 171 189 216 228 252 266 342 378 399 456 504 513 532 684 756 798 1009 1026 1064 1197 1368 1512 1596 2018 2052 2394 3027 3192 3591 4036 4104 4788 6054 7063 7182 8072 9081 9576 12108 14126 14364 18162 19171 21189 24216 27243 28252 28728 36324 38342 42378 54486 56504 57513 63567 72648 76684 84756 108972 115026 127134 134197 153368 169512 172539 190701 217944 230052 254268 268394 345078 381402 402591 460104 508536 517617 536788 690156 762804 805182 1035234 1073576 1207773 1380312 1525608 1610364 2070468 2415546 3220728 3623319 4140936 4831092 7246638 9662184 14493276 28986552