Search a number
-
+
28755328 = 27767479
BaseRepresentation
bin110110110110…
…0010110000000
32000002220220011
41231230112000
524330132303
62504154304
7466262530
oct155542600
960086804
1028755328
1115260338
129768994
135c5a5b4
143b674c0
1527d016d
hex1b6c580

28755328 has 64 divisors (see below), whose sum is σ = 66585600. Its totient is φ = 12114432.

The previous prime is 28755323. The next prime is 28755329. The reversal of 28755328 is 82355782.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28755323) by changing a digit.

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

It is an upside-down number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 59793 + ... + 60271.

It is an arithmetic number, because the mean of its divisors is an integer number (1040400).

Almost surely, 228755328 is an apocalyptic number.

28755328 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28755328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33292800).

28755328 is an abundant number, since it is smaller than the sum of its proper divisors (37830272).

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

28755328 is an equidigital number, since it uses as much as digits as its factorization.

28755328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 567 (or 555 counting only the distinct ones).

The product of its digits is 134400, while the sum is 40.

The square root of 28755328 is about 5362.3994629270. The cubic root of 28755328 is about 306.3652068012.

The spelling of 28755328 in words is "twenty-eight million, seven hundred fifty-five thousand, three hundred twenty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 67 112 128 134 224 268 448 469 479 536 896 938 958 1072 1876 1916 2144 3353 3752 3832 4288 6706 7504 7664 8576 13412 15008 15328 26824 30016 30656 32093 53648 60032 61312 64186 107296 128372 214592 224651 256744 429184 449302 513488 898604 1026976 1797208 2053952 3594416 4107904 7188832 14377664 28755328