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28144704 = 263743487
BaseRepresentation
bin110101101011…
…1010001000000
31221221220021110
41223113101000
524201112304
62443123320
7461140350
oct153272100
957856243
1028144704
1114983595
129513540
135aa5693
143a48b60
15270e289
hex1ad7440

28144704 has 112 divisors (see below), whose sum is σ = 87262208. Its totient is φ = 7838208.

The previous prime is 28144691. The next prime is 28144723. The reversal of 28144704 is 40744182.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 57549 + ... + 58035.

Almost surely, 228144704 is an apocalyptic number.

28144704 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 28144704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43631104).

28144704 is an abundant number, since it is smaller than the sum of its proper divisors (59117504).

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

28144704 is a wasteful number, since it uses less digits than its factorization.

28144704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 552 (or 542 counting only the distinct ones).

The product of its (nonzero) digits is 7168, while the sum is 30.

The square root of 28144704 is about 5305.1582445767. The cubic root of 28144704 is about 304.1811016940.

Adding to 28144704 its reverse (40744182), we get a palindrome (68888886).

The spelling of 28144704 in words is "twenty-eight million, one hundred forty-four thousand, seven hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 43 48 56 64 84 86 96 112 129 168 172 192 224 258 301 336 344 448 487 516 602 672 688 903 974 1032 1204 1344 1376 1461 1806 1948 2064 2408 2752 2922 3409 3612 3896 4128 4816 5844 6818 7224 7792 8256 9632 10227 11688 13636 14448 15584 19264 20454 20941 23376 27272 28896 31168 40908 41882 46752 54544 57792 62823 81816 83764 93504 109088 125646 146587 163632 167528 218176 251292 293174 327264 335056 439761 502584 586348 654528 670112 879522 1005168 1172696 1340224 1759044 2010336 2345392 3518088 4020672 4690784 7036176 9381568 14072352 28144704