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28164096 = 21432191
BaseRepresentation
bin110101101110…
…0000000000000
31221222212212200
41223130000000
524202222341
62443353200
7461251032
oct153340000
957885780
1028164096
1114997114
129522800
135ab145c
143a51c52
152714db6
hex1adc000

28164096 has 90 divisors (see below), whose sum is σ = 81786432. Its totient is φ = 9338880.

The previous prime is 28164091. The next prime is 28164107. The reversal of 28164096 is 69046182.

28164096 is a `hidden beast` number, since 2 + 8 + 1 + 640 + 9 + 6 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 28164096.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28164091) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 147361 + ... + 147551.

Almost surely, 228164096 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 28164096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40893216).

28164096 is an abundant number, since it is smaller than the sum of its proper divisors (53622336).

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

28164096 is an equidigital number, since it uses as much as digits as its factorization.

28164096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 225 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 28164096 is about 5306.9855850567. The cubic root of 28164096 is about 304.2509469917.

The spelling of 28164096 in words is "twenty-eight million, one hundred sixty-four thousand, ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 191 192 256 288 382 384 512 573 576 764 768 1024 1146 1152 1528 1536 1719 2048 2292 2304 3056 3072 3438 4096 4584 4608 6112 6144 6876 8192 9168 9216 12224 12288 13752 16384 18336 18432 24448 24576 27504 36672 36864 48896 49152 55008 73344 73728 97792 110016 146688 147456 195584 220032 293376 391168 440064 586752 782336 880128 1173504 1564672 1760256 2347008 3129344 3520512 4694016 7041024 9388032 14082048 28164096