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28107648 = 27342711
BaseRepresentation
bin110101100111…
…0001110000000
31221220000110000
41223032032000
524143421043
62442240000
7460624332
oct153161600
957800400
1028107648
1114958768
1294b6000
135a9185a
143a39452
1527032d3
hex1ace380

28107648 has 80 divisors (see below), whose sum is σ = 83678760. Its totient is φ = 9365760.

The previous prime is 28107643. The next prime is 28107661. The reversal of 28107648 is 84670182.

28107648 is a `hidden beast` number, since 2 + 8 + 1 + 0 + 7 + 648 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28107643) 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 9 ways as a sum of consecutive naturals, for example, 9013 + ... + 11723.

Almost surely, 228107648 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 28107648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41839380).

28107648 is an abundant number, since it is smaller than the sum of its proper divisors (55571112).

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

28107648 is an equidigital number, since it uses as much as digits as its factorization.

28107648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2737 (or 2716 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 28107648 is about 5301.6646442415. The cubic root of 28107648 is about 304.0475456567.

The spelling of 28107648 in words is "twenty-eight million, one hundred seven thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 288 324 384 432 576 648 864 1152 1296 1728 2592 2711 3456 5184 5422 8133 10368 10844 16266 21688 24399 32532 43376 48798 65064 73197 86752 97596 130128 146394 173504 195192 219591 260256 292788 347008 390384 439182 520512 585576 780768 878364 1041024 1171152 1561536 1756728 2342304 3123072 3513456 4684608 7026912 9369216 14053824 28107648