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28913920 = 28572461
BaseRepresentation
bin110111001001…
…1000100000000
32000101222102221
41232103010000
524400221140
62511420424
7500523100
oct156230400
960358387
1028913920
1115359502
129824714
135cb4839
143ba9200
15281214a
hex1b93100

28913920 has 108 divisors (see below), whose sum is σ = 80740044. Its totient is φ = 9891840.

The previous prime is 28913903. The next prime is 28913947. The reversal of 28913920 is 2931982.

It can be written as a sum of positive squares in 2 ways, for example, as 9834496 + 19079424 = 3136^2 + 4368^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 62490 + ... + 62950.

It is an arithmetic number, because the mean of its divisors is an integer number (747593).

Almost surely, 228913920 is an apocalyptic number.

28913920 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 28913920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40370022).

28913920 is an abundant number, since it is smaller than the sum of its proper divisors (51826124).

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

28913920 is an equidigital number, since it uses as much as digits as its factorization.

28913920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 496 (or 475 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 34.

The square root of 28913920 is about 5377.1665401027. The cubic root of 28913920 is about 306.9273985075.

The spelling of 28913920 in words is "twenty-eight million, nine hundred thirteen thousand, nine hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 49 56 64 70 80 98 112 128 140 160 196 224 245 256 280 320 392 448 461 490 560 640 784 896 922 980 1120 1280 1568 1792 1844 1960 2240 2305 3136 3227 3688 3920 4480 4610 6272 6454 7376 7840 8960 9220 12544 12908 14752 15680 16135 18440 22589 25816 29504 31360 32270 36880 45178 51632 59008 62720 64540 73760 90356 103264 112945 118016 129080 147520 180712 206528 225890 258160 295040 361424 413056 451780 516320 590080 722848 826112 903560 1032640 1445696 1807120 2065280 2891392 3614240 4130560 5782784 7228480 14456960 28913920