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28305312 = 253773577
BaseRepresentation
bin110101111111…
…0011110100000
31222021001120220
41223332132200
524221232222
62450403040
7462406530
oct153763640
958231526
1028305312
1114a83222
129590480
135b30809
143a8b4c0
152741b5c
hex1afe7a0

28305312 has 96 divisors (see below), whose sum is σ = 86228352. Its totient is φ = 7962624.

The previous prime is 28305227. The next prime is 28305313. The reversal of 28305312 is 21350382.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (28305313) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 48768 + ... + 49344.

It is an arithmetic number, because the mean of its divisors is an integer number (898212).

Almost surely, 228305312 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 28305312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43114176).

28305312 is an abundant number, since it is smaller than the sum of its proper divisors (57923040).

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

28305312 is a wasteful number, since it uses less digits than its factorization.

28305312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 670 (or 662 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 28305312 is about 5320.2736771711. The cubic root of 28305312 is about 304.7586086077.

Adding to 28305312 its reverse (21350382), we get a palindrome (49655694).

The spelling of 28305312 in words is "twenty-eight million, three hundred five thousand, three hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 73 84 96 112 146 168 219 224 292 336 438 511 577 584 672 876 1022 1154 1168 1533 1731 1752 2044 2308 2336 3066 3462 3504 4039 4088 4616 6132 6924 7008 8078 8176 9232 12117 12264 13848 16156 16352 18464 24234 24528 27696 32312 42121 48468 49056 55392 64624 84242 96936 126363 129248 168484 193872 252726 294847 336968 387744 505452 589694 673936 884541 1010904 1179388 1347872 1769082 2021808 2358776 3538164 4043616 4717552 7076328 9435104 14152656 28305312