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28546816 = 28195869
BaseRepresentation
bin110110011100…
…1011100000000
31222201022212111
41230321130000
524301444231
62455505104
7464433604
oct154713400
958638774
1028546816
1115128711
129688194
135bb670c
143b11504
15278d4b1
hex1b39700

28546816 has 36 divisors (see below), whose sum is σ = 59991400. Its totient is φ = 13519872.

The previous prime is 28546799. The next prime is 28546829. The reversal of 28546816 is 61864582.

It is a hoax number, since the sum of its digits (40) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

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 3 ways as a sum of consecutive naturals, for example, 1930 + ... + 7798.

Almost surely, 228546816 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 28546816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29995700).

28546816 is an abundant number, since it is smaller than the sum of its proper divisors (31444584).

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

28546816 is an equidigital number, since it uses as much as digits as its factorization.

28546816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5904 (or 5890 counting only the distinct ones).

The product of its digits is 92160, while the sum is 40.

The square root of 28546816 is about 5342.9220469702. The cubic root of 28546816 is about 305.6228997030.

The spelling of 28546816 in words is "twenty-eight million, five hundred forty-six thousand, eight hundred sixteen".

Divisors: 1 2 4 8 16 19 32 38 64 76 128 152 256 304 608 1216 2432 4864 5869 11738 23476 46952 93904 111511 187808 223022 375616 446044 751232 892088 1502464 1784176 3568352 7136704 14273408 28546816