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28128448 = 262397197
BaseRepresentation
bin110101101001…
…1010011000000
31221221001222101
41223103103000
524200102243
62442520144
7461042065
oct153232300
957831871
1028128448
1114972357
129506054
135a9b16a
143a42c6c
15270954d
hex1ad34c0

28128448 has 56 divisors (see below), whose sum is σ = 59143392. Its totient is φ = 13246464.

The previous prime is 28128391. The next prime is 28128449. The reversal of 28128448 is 84482182.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (28128449) by changing a digit.

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

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 142686 + ... + 142882.

It is an arithmetic number, because the mean of its divisors is an integer number (1056132).

Almost surely, 228128448 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 28128448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29571696).

28128448 is an abundant number, since it is smaller than the sum of its proper divisors (31014944).

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

28128448 is a wasteful number, since it uses less digits than its factorization.

28128448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 329 (or 319 counting only the distinct ones).

The product of its digits is 32768, while the sum is 37.

The square root of 28128448 is about 5303.6259294939. The cubic root of 28128448 is about 304.1225267864.

The spelling of 28128448 in words is "twenty-eight million, one hundred twenty-eight thousand, four hundred forty-eight".

Divisors: 1 2 4 8 16 23 32 46 64 92 97 184 194 197 368 388 394 736 776 788 1472 1552 1576 2231 3104 3152 4462 4531 6208 6304 8924 9062 12608 17848 18124 19109 35696 36248 38218 71392 72496 76436 142784 144992 152872 289984 305744 439507 611488 879014 1222976 1758028 3516056 7032112 14064224 28128448