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28185696 = 25327113141
BaseRepresentation
bin110101110000…
…1010001100000
31222000222111200
41223201101200
524203420241
62444041200
7461401020
oct153412140
958028450
1028185696
1114a01370
129533200
135abb236
143a59a80
15271b4b6
hex1ae1460

28185696 has 288 divisors, whose sum is σ = 105670656. Its totient is φ = 6912000.

The previous prime is 28185691. The next prime is 28185713. The reversal of 28185696 is 69658182.

28185696 is a `hidden beast` number, since 2 + 81 + 8 + 569 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a nialpdrome in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28185691) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 687436 + ... + 687476.

It is an arithmetic number, because the mean of its divisors is an integer number (366912).

Almost surely, 228185696 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 28185696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52835328).

28185696 is an abundant number, since it is smaller than the sum of its proper divisors (77484960).

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

28185696 is a wasteful number, since it uses less digits than its factorization.

28185696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106 (or 95 counting only the distinct ones).

The product of its digits is 207360, while the sum is 45.

The square root of 28185696 is about 5309.0202485958. The cubic root of 28185696 is about 304.3287072379.

The spelling of 28185696 in words is "twenty-eight million, one hundred eighty-five thousand, six hundred ninety-six".