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28224480 = 2535127463
BaseRepresentation
bin110101110101…
…0101111100000
31222002221201010
41223222233200
524211140410
62444540520
7461622054
oct153525740
958087633
1028224480
1114a28519
129551740
135b02a9b
143a69c64
152727c20
hex1aeabe0

28224480 has 96 divisors (see below), whose sum is σ = 89800704. Its totient is φ = 7451136.

The previous prime is 28224433. The next prime is 28224529. The reversal of 28224480 is 8442282.

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 (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 60729 + ... + 61191.

It is an arithmetic number, because the mean of its divisors is an integer number (935424).

Almost surely, 228224480 is an apocalyptic number.

28224480 is a gapful number since it is divisible by the number (20) 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 28224480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44900352).

28224480 is an abundant number, since it is smaller than the sum of its proper divisors (61576224).

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

28224480 is a wasteful number, since it uses less digits than its factorization.

28224480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 608 (or 600 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 30.

The square root of 28224480 is about 5312.6716442860. The cubic root of 28224480 is about 304.4682304316.

The spelling of 28224480 in words is "twenty-eight million, two hundred twenty-four thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 127 160 240 254 381 463 480 508 635 762 926 1016 1270 1389 1524 1852 1905 2032 2315 2540 2778 3048 3704 3810 4064 4630 5080 5556 6096 6945 7408 7620 9260 10160 11112 12192 13890 14816 15240 18520 20320 22224 27780 30480 37040 44448 55560 58801 60960 74080 111120 117602 176403 222240 235204 294005 352806 470408 588010 705612 882015 940816 1176020 1411224 1764030 1881632 2352040 2822448 3528060 4704080 5644896 7056120 9408160 14112240 28224480