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28112128 = 281167149
BaseRepresentation
bin110101100111…
…1010100000000
31221220020120221
41223033110000
524144042003
62442312424
7460643362
oct153172400
957806527
1028112128
1114961070
1294b8714
135a938c5
143a3ad32
1527047bd
hex1acf500

28112128 has 72 divisors (see below), whose sum is σ = 62546400. Its totient is φ = 12503040.

The previous prime is 28112113. The next prime is 28112131. The reversal of 28112128 is 82121182.

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

It is a congruent number.

It is an unprimeable number.

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, 188598 + ... + 188746.

It is an arithmetic number, because the mean of its divisors is an integer number (868700).

Almost surely, 228112128 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 28112128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31273200).

28112128 is an abundant number, since it is smaller than the sum of its proper divisors (34434272).

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

28112128 is a wasteful number, since it uses less digits than its factorization.

28112128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 243 (or 229 counting only the distinct ones).

The product of its digits is 512, while the sum is 25.

The square root of 28112128 is about 5302.0871362134. The cubic root of 28112128 is about 304.0636985634.

The spelling of 28112128 in words is "twenty-eight million, one hundred twelve thousand, one hundred twenty-eight".

Divisors: 1 2 4 8 11 16 22 32 44 64 67 88 128 134 149 176 256 268 298 352 536 596 704 737 1072 1192 1408 1474 1639 2144 2384 2816 2948 3278 4288 4768 5896 6556 8576 9536 9983 11792 13112 17152 19072 19966 23584 26224 38144 39932 47168 52448 79864 94336 104896 109813 159728 188672 209792 219626 319456 419584 439252 638912 878504 1277824 1757008 2555648 3514016 7028032 14056064 28112128