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28832384 = 27724597
BaseRepresentation
bin110110111111…
…1001010000000
32000020211121002
41231333022000
524340114014
62505551132
7500033300
oct155771200
960224532
1028832384
1115303219
1297a54a8
135c866a9
143b87600
1527e7dde
hex1b7f280

28832384 has 48 divisors (see below), whose sum is σ = 66831930. Its totient is φ = 12354048.

The previous prime is 28832381. The next prime is 28832413. The reversal of 28832384 is 48323882.

It can be written as a sum of positive squares in only one way, i.e., 28302400 + 529984 = 5320^2 + 728^2 .

It is not an unprimeable number, because it can be changed into a prime (28832381) 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 5 ways as a sum of consecutive naturals, for example, 3974 + ... + 8570.

Almost surely, 228832384 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 28832384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33415965).

28832384 is an abundant number, since it is smaller than the sum of its proper divisors (37999546).

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

28832384 is an equidigital number, since it uses as much as digits as its factorization.

28832384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4625 (or 4606 counting only the distinct ones).

The product of its digits is 73728, while the sum is 38.

The square root of 28832384 is about 5369.5794993649. The cubic root of 28832384 is about 306.6386195732.

The spelling of 28832384 in words is "twenty-eight million, eight hundred thirty-two thousand, three hundred eighty-four".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 128 196 224 392 448 784 896 1568 3136 4597 6272 9194 18388 32179 36776 64358 73552 128716 147104 225253 257432 294208 450506 514864 588416 901012 1029728 1802024 2059456 3604048 4118912 7208096 14416192 28832384