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28309344 = 2537103409
BaseRepresentation
bin110101111111…
…1011101100000
31222021021010020
41223333131200
524221344334
62450433440
7462424350
oct153773540
958237106
1028309344
1114a86258
129592880
135b325bb
143a8cb60
152742e49
hex1aff760

28309344 has 96 divisors (see below), whose sum is σ = 85962240. Its totient is φ = 7990272.

The previous prime is 28309331. The next prime is 28309349. The reversal of 28309344 is 44390382.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28309349) 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, 69012 + ... + 69420.

It is an arithmetic number, because the mean of its divisors is an integer number (895440).

Almost surely, 228309344 is an apocalyptic number.

28309344 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 28309344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42981120).

28309344 is an abundant number, since it is smaller than the sum of its proper divisors (57652896).

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

28309344 is a wasteful number, since it uses less digits than its factorization.

28309344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 532 (or 524 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 33.

The square root of 28309344 is about 5320.6525915530. The cubic root of 28309344 is about 304.7730785462.

The spelling of 28309344 in words is "twenty-eight million, three hundred nine thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 103 112 168 206 224 309 336 409 412 618 672 721 818 824 1227 1236 1442 1636 1648 2163 2454 2472 2863 2884 3272 3296 4326 4908 4944 5726 5768 6544 8589 8652 9816 9888 11452 11536 13088 17178 17304 19632 22904 23072 34356 34608 39264 42127 45808 68712 69216 84254 91616 126381 137424 168508 252762 274848 294889 337016 505524 589778 674032 884667 1011048 1179556 1348064 1769334 2022096 2359112 3538668 4044192 4718224 7077336 9436448 14154672 28309344