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28096128 = 2732293
BaseRepresentation
bin110101100101…
…1011010000000
31221212102122100
41223023122000
524143034003
62442110400
7460545624
oct153133200
957772570
1028096128
1114950045
1294ab400
135a89538
143a35184
1526eeba3
hex1acb680

28096128 has 96 divisors (see below), whose sum is σ = 83736900. Its totient is φ = 9042432.

The previous prime is 28096109. The next prime is 28096141. The reversal of 28096128 is 82169082.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 24681024 + 3415104 = 4968^2 + 1848^2 .

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a junction number, because it is equal to n+sod(n) for n = 28096092 and 28096101.

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 11 ways as a sum of consecutive naturals, for example, 968818 + ... + 968846.

Almost surely, 228096128 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 28096128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41868450).

28096128 is an abundant number, since it is smaller than the sum of its proper divisors (55640772).

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

28096128 is an frugal number, since it uses more digits than its factorization.

28096128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 28096128 is about 5300.5780816813. The cubic root of 28096128 is about 304.0060017282.

It can be divided in two parts, 28096 and 128, that added together give a square (28224 = 1682).

The spelling of 28096128 in words is "twenty-eight million, ninety-six thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 29 32 36 48 58 64 72 87 96 116 128 144 174 192 232 261 288 348 384 464 522 576 696 841 928 1044 1152 1392 1682 1856 2088 2523 2784 3364 3712 4176 5046 5568 6728 7569 8352 10092 11136 13456 15138 16704 20184 24389 26912 30276 33408 40368 48778 53824 60552 73167 80736 97556 107648 121104 146334 161472 195112 219501 242208 292668 322944 390224 439002 484416 585336 780448 878004 968832 1170672 1560896 1756008 2341344 3121792 3512016 4682688 7024032 9365376 14048064 28096128