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28884128 = 2572132109
BaseRepresentation
bin110111000101…
…1110010100000
32000100110120112
41232023302200
524343243003
62511030452
7500340200
oct156136240
960313515
1028884128
1115339089
12980b428
135ca4100
143b9c400
1528083d8
hex1b8bca0

28884128 has 108 divisors (see below), whose sum is σ = 72286830. Its totient is φ = 11321856.

The previous prime is 28884073. The next prime is 28884133. The reversal of 28884128 is 82148882.

It can be written as a sum of positive squares in 3 ways, for example, as 17405584 + 11478544 = 4172^2 + 3388^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 264938 + ... + 265046.

Almost surely, 228884128 is an apocalyptic number.

28884128 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 28884128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36143415).

28884128 is an abundant number, since it is smaller than the sum of its proper divisors (43402702).

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

28884128 is a wasteful number, since it uses less digits than its factorization.

28884128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159 (or 131 counting only the distinct ones).

The product of its digits is 65536, while the sum is 41.

The square root of 28884128 is about 5374.3955939250. The cubic root of 28884128 is about 306.8219461463.

The spelling of 28884128 in words is "twenty-eight million, eight hundred eighty-four thousand, one hundred twenty-eight".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 49 52 56 91 98 104 109 112 169 182 196 208 218 224 338 364 392 416 436 637 676 728 763 784 872 1183 1274 1352 1417 1456 1526 1568 1744 2366 2548 2704 2834 2912 3052 3488 4732 5096 5341 5408 5668 6104 8281 9464 9919 10192 10682 11336 12208 16562 18421 18928 19838 20384 21364 22672 24416 33124 36842 37856 39676 42728 45344 66248 69433 73684 79352 85456 128947 132496 138866 147368 158704 170912 257894 264992 277732 294736 317408 515788 555464 589472 902629 1031576 1110928 1805258 2063152 2221856 3610516 4126304 7221032 14442064 28884128