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28432120 = 235671032
BaseRepresentation
bin110110001110…
…1011011111000
31222111111112111
41230131123320
524234311440
62453222104
7463445323
oct154353370
958444474
1028432120
111505a522
129631934
135b76452
143ac17ba
1527694ea
hex1b1d6f8

28432120 has 48 divisors (see below), whose sum is σ = 65563560. Its totient is φ = 11094336.

The previous prime is 28432099. The next prime is 28432121. The reversal of 28432120 is 2123482.

It is a junction number, because it is equal to n+sod(n) for n = 28432091 and 28432100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28432121) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 275989 + ... + 276091.

Almost surely, 228432120 is an apocalyptic number.

28432120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28432120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32781780).

28432120 is an abundant number, since it is smaller than the sum of its proper divisors (37131440).

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

28432120 is a wasteful number, since it uses less digits than its factorization.

28432120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 284 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

The square root of 28432120 is about 5332.1777914845. The cubic root of 28432120 is about 305.2130375815.

The spelling of 28432120 in words is "twenty-eight million, four hundred thirty-two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 67 103 134 206 268 335 412 515 536 670 824 1030 1340 2060 2680 4120 6901 10609 13802 21218 27604 34505 42436 53045 55208 69010 84872 106090 138020 212180 276040 424360 710803 1421606 2843212 3554015 5686424 7108030 14216060 28432120