Search a number
-
+
28825664 = 26737247
BaseRepresentation
bin110110111110…
…1100001000000
32000020111101012
41231331201000
524334410124
62505500052
7500004560
oct155754100
960214335
1028825664
11152a916a
1297a1628
135c8360a
143b84da0
1527e5e0e
hex1b7d840

28825664 has 84 divisors (see below), whose sum is σ = 68616576. Its totient is φ = 11764224.

The previous prime is 28825663. The next prime is 28825669. The reversal of 28825664 is 46652882.

It is not an unprimeable number, because it can be changed into a prime (28825661) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 613289 + ... + 613335.

It is an arithmetic number, because the mean of its divisors is an integer number (816864).

Almost surely, 228825664 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 28825664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34308288).

28825664 is an abundant number, since it is smaller than the sum of its proper divisors (39790912).

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

28825664 is an equidigital number, since it uses as much as digits as its factorization.

28825664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140 (or 93 counting only the distinct ones).

The product of its digits is 184320, while the sum is 41.

The square root of 28825664 is about 5368.9537155762. The cubic root of 28825664 is about 306.6147948392.

It can be divided in two parts, 288 and 25664, that added together give a palindrome (25952).

The spelling of 28825664 in words is "twenty-eight million, eight hundred twenty-five thousand, six hundred sixty-four".

Divisors: 1 2 4 7 8 14 16 28 32 37 47 56 64 74 94 112 148 188 224 259 296 329 376 448 518 592 658 752 1036 1184 1316 1369 1504 1739 2072 2368 2632 2738 3008 3478 4144 5264 5476 6956 8288 9583 10528 10952 12173 13912 16576 19166 21056 21904 24346 27824 38332 43808 48692 55648 64343 76664 87616 97384 111296 128686 153328 194768 257372 306656 389536 450401 514744 613312 779072 900802 1029488 1801604 2058976 3603208 4117952 7206416 14412832 28825664