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28145360 = 245596789
BaseRepresentation
bin110101101011…
…1011011010000
31221221221011202
41223113123100
524201122420
62443130332
7461142305
oct153273320
957857152
1028145360
1114984031
1295139a8
135aa5a79
143a490ac
15270e575
hex1ad76d0

28145360 has 80 divisors (see below), whose sum is σ = 68299200. Its totient is φ = 10779648.

The previous prime is 28145347. The next prime is 28145371. The reversal of 28145360 is 6354182.

28145360 = T471 + T472 + ... + T648.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×281453602 = 1584322579059200, which contains 22 as substring.

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, 316196 + ... + 316284.

It is an arithmetic number, because the mean of its divisors is an integer number (853740).

Almost surely, 228145360 is an apocalyptic number.

28145360 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 28145360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34149600).

28145360 is an abundant number, since it is smaller than the sum of its proper divisors (40153840).

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

28145360 is a wasteful number, since it uses less digits than its factorization.

28145360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 228 (or 222 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 29.

The square root of 28145360 is about 5305.2200708359. The cubic root of 28145360 is about 304.1834649716.

The spelling of 28145360 in words is "twenty-eight million, one hundred forty-five thousand, three hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 40 59 67 80 89 118 134 178 236 268 295 335 356 445 472 536 590 670 712 890 944 1072 1180 1340 1424 1780 2360 2680 3560 3953 4720 5251 5360 5963 7120 7906 10502 11926 15812 19765 21004 23852 26255 29815 31624 39530 42008 47704 52510 59630 63248 79060 84016 95408 105020 119260 158120 210040 238520 316240 351817 420080 477040 703634 1407268 1759085 2814536 3518170 5629072 7036340 14072680 28145360