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28663635 = 35711132383
BaseRepresentation
bin110110101010…
…1111101010011
31222221021010010
41231111331103
524314214020
62502210003
7465431310
oct155257523
958837103
1028663635
11151a8460
129723903
135c27940
143b41d07
1527b2de0
hex1b55f53

28663635 has 128 divisors (see below), whose sum is σ = 65028096. Its totient is φ = 10391040.

The previous prime is 28663631. The next prime is 28663639. The reversal of 28663635 is 53636682.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (28663631) and next prime (28663639).

It is not a de Polignac number, because 28663635 - 22 = 28663631 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a junction number, because it is equal to n+sod(n) for n = 28663593 and 28663602.

It is not an unprimeable number, because it can be changed into a prime (28663631) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 345304 + ... + 345386.

It is an arithmetic number, because the mean of its divisors is an integer number (508032).

Almost surely, 228663635 is an apocalyptic number.

28663635 is an abundant number, since it is smaller than the sum of its proper divisors (36364461).

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

28663635 is a wasteful number, since it uses less digits than its factorization.

28663635 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145.

The product of its digits is 155520, while the sum is 39.

The square root of 28663635 is about 5353.8430122670. The cubic root of 28663635 is about 306.0392213385.

The spelling of 28663635 in words is "twenty-eight million, six hundred sixty-three thousand, six hundred thirty-five".

Divisors: 1 3 5 7 11 13 15 21 23 33 35 39 55 65 69 77 83 91 105 115 143 161 165 195 231 249 253 273 299 345 385 415 429 455 483 581 715 759 805 897 913 1001 1079 1155 1245 1265 1365 1495 1743 1771 1909 2093 2145 2415 2739 2905 3003 3237 3289 3795 4485 4565 5005 5313 5395 5727 6279 6391 7553 8715 8855 9545 9867 10465 11869 13363 13695 15015 16185 16445 19173 20999 22659 23023 24817 26565 28635 31395 31955 35607 37765 40089 49335 59345 62997 66815 69069 74451 83083 95865 104995 113295 115115 124085 146993 173719 178035 200445 249249 272987 314985 345345 372255 415415 440979 521157 734965 818961 868595 1246245 1364935 1910909 2204895 2605785 4094805 5732727 9554545 28663635