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28209312 = 2532412389
BaseRepresentation
bin110101110011…
…1000010100000
31222002011220100
41223213002200
524210144222
62444342400
7461526615
oct153470240
958064810
1028209312
1114a1808a
129544a00
135ac8c01
143a6450c
1527234ac
hex1ae70a0

28209312 has 72 divisors (see below), whose sum is σ = 82211220. Its totient is φ = 9169920.

The previous prime is 28209301. The next prime is 28209329. The reversal of 28209312 is 21390282.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 23386896 + 4822416 = 4836^2 + 2196^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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 11 ways as a sum of consecutive naturals, for example, 10614 + ... + 13002.

Almost surely, 228209312 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 28209312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41105610).

28209312 is an abundant number, since it is smaller than the sum of its proper divisors (54001908).

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

28209312 is a wasteful number, since it uses less digits than its factorization.

28209312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2446 (or 2435 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 28209312 is about 5311.2439220958. The cubic root of 28209312 is about 304.4136796581.

Adding to 28209312 its reverse (21390282), we get a palindrome (49599594).

The spelling of 28209312 in words is "twenty-eight million, two hundred nine thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 41 48 72 82 96 123 144 164 246 288 328 369 492 656 738 984 1312 1476 1968 2389 2952 3936 4778 5904 7167 9556 11808 14334 19112 21501 28668 38224 43002 57336 76448 86004 97949 114672 172008 195898 229344 293847 344016 391796 587694 688032 783592 881541 1175388 1567184 1763082 2350776 3134368 3526164 4701552 7052328 9403104 14104656 28209312