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28432096 = 2571121049
BaseRepresentation
bin110110001110…
…1011011100000
31222111111111121
41230131123200
524234311341
62453222024
7463445260
oct154353340
958444447
1028432096
111505a500
129631914
135b76434
143ac17a0
1527694d1
hex1b1d6e0

28432096 has 72 divisors (see below), whose sum is σ = 70383600. Its totient is φ = 11066880.

The previous prime is 28432091. The next prime is 28432097. The reversal of 28432096 is 69023482.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28432091) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 26580 + ... + 27628.

It is an arithmetic number, because the mean of its divisors is an integer number (977550).

Almost surely, 228432096 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 28432096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35191800).

28432096 is an abundant number, since it is smaller than the sum of its proper divisors (41951504).

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

28432096 is a wasteful number, since it uses less digits than its factorization.

28432096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1088 (or 1069 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 34.

The square root of 28432096 is about 5332.1755409964. The cubic root of 28432096 is about 305.2129517031.

The spelling of 28432096 in words is "twenty-eight million, four hundred thirty-two thousand, ninety-six".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 56 77 88 112 121 154 176 224 242 308 352 484 616 847 968 1049 1232 1694 1936 2098 2464 3388 3872 4196 6776 7343 8392 11539 13552 14686 16784 23078 27104 29372 33568 46156 58744 80773 92312 117488 126929 161546 184624 234976 253858 323092 369248 507716 646184 888503 1015432 1292368 1777006 2030864 2584736 3554012 4061728 7108024 14216048 28432096