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28306960 = 24511191693
BaseRepresentation
bin110101111111…
…0111000010000
31222021010211221
41223332320100
524221310320
62450414424
7462414403
oct153767020
958233757
1028306960
1114a84490
129591414
135b314a6
143a8bd3a
1527423aa
hex1afee10

28306960 has 80 divisors (see below), whose sum is σ = 75620160. Its totient is φ = 9745920.

The previous prime is 28306931. The next prime is 28306963. The reversal of 28306960 is 6960382.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28306963) 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, 15874 + ... + 17566.

It is an arithmetic number, because the mean of its divisors is an integer number (945252).

Almost surely, 228306960 is an apocalyptic number.

28306960 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 28306960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37810080).

28306960 is an abundant number, since it is smaller than the sum of its proper divisors (47313200).

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

28306960 is a wasteful number, since it uses less digits than its factorization.

28306960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1736 (or 1730 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 34.

The square root of 28306960 is about 5320.4285541674. The cubic root of 28306960 is about 304.7645230740.

The spelling of 28306960 in words is "twenty-eight million, three hundred six thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 11 16 19 20 22 38 40 44 55 76 80 88 95 110 152 176 190 209 220 304 380 418 440 760 836 880 1045 1520 1672 1693 2090 3344 3386 4180 6772 8360 8465 13544 16720 16930 18623 27088 32167 33860 37246 64334 67720 74492 93115 128668 135440 148984 160835 186230 257336 297968 321670 353837 372460 514672 643340 707674 744920 1286680 1415348 1489840 1769185 2573360 2830696 3538370 5661392 7076740 14153480 28306960