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28816128 = 283311379
BaseRepresentation
bin110110111101…
…1001100000000
32000020000022000
41231323030000
524334104003
62505344000
7466635015
oct155731400
960200260
1028816128
11152a1a90
129798000
135c7c183
143b8170c
1527e31a3
hex1b7b300

28816128 has 144 divisors (see below), whose sum is σ = 93206400. Its totient is φ = 8709120.

The previous prime is 28816127. The next prime is 28816157. The reversal of 28816128 is 82161882.

It is a tau number, because it is divible by the number of its divisors (144).

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

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

It is a junction number, because it is equal to n+sod(n) for n = 28816092 and 28816101.

It is not an unprimeable number, because it can be changed into a prime (28816127) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 75843 + ... + 76221.

Almost surely, 228816128 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 28816128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46603200).

28816128 is an abundant number, since it is smaller than the sum of its proper divisors (64390272).

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

28816128 is a wasteful number, since it uses less digits than its factorization.

28816128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 415 (or 395 counting only the distinct ones).

The product of its digits is 12288, while the sum is 36.

The square root of 28816128 is about 5368.0655733700. The cubic root of 28816128 is about 306.5809800510.

It can be divided in two parts, 2881 and 6128, that added together give a palindrome (9009).

The spelling of 28816128 in words is "twenty-eight million, eight hundred sixteen thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 32 33 36 44 48 54 64 66 72 88 96 99 108 128 132 144 176 192 198 216 256 264 288 297 352 379 384 396 432 528 576 594 704 758 768 792 864 1056 1137 1152 1188 1408 1516 1584 1728 2112 2274 2304 2376 2816 3032 3168 3411 3456 4169 4224 4548 4752 6064 6336 6822 6912 8338 8448 9096 9504 10233 12128 12507 12672 13644 16676 18192 19008 20466 24256 25014 25344 27288 33352 36384 37521 38016 40932 48512 50028 54576 66704 72768 75042 76032 81864 97024 100056 109152 112563 133408 145536 150084 163728 200112 218304 225126 266816 291072 300168 327456 400224 436608 450252 533632 600336 654912 800448 873216 900504 1067264 1200672 1309824 1600896 1801008 2401344 2619648 3201792 3602016 4802688 7204032 9605376 14408064 28816128