Search a number
-
+
28066752 = 263276961
BaseRepresentation
bin110101100010…
…0001111000000
31221210221100100
41223010033000
524141114002
62441322400
7460364160
oct153041700
957727310
1028066752
111492aa6a
129496400
135a7905c
143a285a0
1526e611c
hex1ac43c0

28066752 has 84 divisors (see below), whose sum is σ = 91954096. Its totient is φ = 8017920.

The previous prime is 28066747. The next prime is 28066793. The reversal of 28066752 is 25766082.

It is a tau number, because it is divible by the number of its divisors (84).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 552 + ... + 7512.

Almost surely, 228066752 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 28066752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45977048).

28066752 is an abundant number, since it is smaller than the sum of its proper divisors (63887344).

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

28066752 is a wasteful number, since it uses less digits than its factorization.

28066752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6986 (or 6973 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 28066752 is about 5297.8063384763. The cubic root of 28066752 is about 303.9000132857.

The spelling of 28066752 in words is "twenty-eight million, sixty-six thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 64 72 84 96 112 126 144 168 192 224 252 288 336 448 504 576 672 1008 1344 2016 4032 6961 13922 20883 27844 41766 48727 55688 62649 83532 97454 111376 125298 146181 167064 194908 222752 250596 292362 334128 389816 438543 445504 501192 584724 668256 779632 877086 1002384 1169448 1336512 1559264 1754172 2004768 2338896 3118528 3508344 4009536 4677792 7016688 9355584 14033376 28066752