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28489344 = 273132439
BaseRepresentation
bin110110010101…
…1011010000000
31222121102000220
41230223122000
524243124334
62454343040
7464104212
oct154533200
958542026
1028489344
1115099514
12965aa80
135b96500
143ad85b2
15277b449
hex1b2b680

28489344 has 96 divisors (see below), whose sum is σ = 82130400. Its totient is φ = 8745984.

The previous prime is 28489343. The next prime is 28489361. The reversal of 28489344 is 44398482.

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

It is a junction number, because it is equal to n+sod(n) for n = 28489296 and 28489305.

It is not an unprimeable number, because it can be changed into a prime (28489343) 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 11 ways as a sum of consecutive naturals, for example, 64677 + ... + 65115.

It is an arithmetic number, because the mean of its divisors is an integer number (855525).

Almost surely, 228489344 is an apocalyptic number.

28489344 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28489344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41065200).

28489344 is an abundant number, since it is smaller than the sum of its proper divisors (53641056).

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

28489344 is a wasteful number, since it uses less digits than its factorization.

28489344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 482 (or 457 counting only the distinct ones).

The product of its digits is 221184, while the sum is 42.

The square root of 28489344 is about 5337.5410068682. The cubic root of 28489344 is about 305.4176630380.

The spelling of 28489344 in words is "twenty-eight million, four hundred eighty-nine thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 128 156 169 192 208 312 338 384 416 439 507 624 676 832 878 1014 1248 1317 1352 1664 1756 2028 2496 2634 2704 3512 4056 4992 5268 5408 5707 7024 8112 10536 10816 11414 14048 16224 17121 21072 21632 22828 28096 32448 34242 42144 45656 56192 64896 68484 74191 84288 91312 136968 148382 168576 182624 222573 273936 296764 365248 445146 547872 593528 730496 890292 1095744 1187056 1780584 2191488 2374112 3561168 4748224 7122336 9496448 14244672 28489344