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28822016 = 29411373
BaseRepresentation
bin110110111110…
…0101000000000
32000020022101002
41231330220000
524334301031
62505431132
7466661126
oct155745000
960208332
1028822016
11152a6453
12979b4a8
135c81a62
143b83916
1527e4ccb
hex1b7ca00

28822016 has 40 divisors (see below), whose sum is σ = 59035284. Its totient is φ = 14049280.

The previous prime is 28822009. The next prime is 28822019. The reversal of 28822016 is 61022882.

It can be written as a sum of positive squares in 2 ways, for example, as 28729600 + 92416 = 5360^2 + 304^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 28822016.

It is not an unprimeable number, because it can be changed into a prime (28822019) by changing a digit.

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, 20306 + ... + 21678.

Almost surely, 228822016 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 28822016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29517642).

28822016 is an abundant number, since it is smaller than the sum of its proper divisors (30213268).

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

28822016 is an equidigital number, since it uses as much as digits as its factorization.

28822016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1432 (or 1416 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 29.

The square root of 28822016 is about 5368.6139738297. The cubic root of 28822016 is about 306.6018598615.

Adding to 28822016 its reverse (61022882), we get a palindrome (89844898).

The spelling of 28822016 in words is "twenty-eight million, eight hundred twenty-two thousand, sixteen".

Divisors: 1 2 4 8 16 32 41 64 82 128 164 256 328 512 656 1312 1373 2624 2746 5248 5492 10496 10984 20992 21968 43936 56293 87872 112586 175744 225172 351488 450344 702976 900688 1801376 3602752 7205504 14411008 28822016