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28108320 = 2535311889
BaseRepresentation
bin110101100111…
…0011000100000
31221220001100220
41223032120200
524143431240
62442243040
7460626312
oct153163040
957801326
1028108320
1114959219
1294b6480
135a91c56
143a397b2
1527035d0
hex1ace620

28108320 has 96 divisors (see below), whose sum is σ = 91445760. Its totient is φ = 7249920.

The previous prime is 28108319. The next prime is 28108321. The reversal of 28108320 is 2380182.

It is an interprime number because it is at equal distance from previous prime (28108319) and next prime (28108321).

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 (24).

It is not an unprimeable number, because it can be changed into a prime (28108321) by changing a digit.

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, 13936 + ... + 15824.

It is an arithmetic number, because the mean of its divisors is an integer number (952560).

Almost surely, 228108320 is an apocalyptic number.

28108320 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 28108320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45722880).

28108320 is an abundant number, since it is smaller than the sum of its proper divisors (63337440).

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

28108320 is a wasteful number, since it uses less digits than its factorization.

28108320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1938 (or 1930 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 28108320 is about 5301.7280201836. The cubic root of 28108320 is about 304.0499687021.

The spelling of 28108320 in words is "twenty-eight million, one hundred eight thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 31 32 40 48 60 62 80 93 96 120 124 155 160 186 240 248 310 372 465 480 496 620 744 930 992 1240 1488 1860 1889 2480 2976 3720 3778 4960 5667 7440 7556 9445 11334 14880 15112 18890 22668 28335 30224 37780 45336 56670 58559 60448 75560 90672 113340 117118 151120 175677 181344 226680 234236 292795 302240 351354 453360 468472 585590 702708 878385 906720 936944 1171180 1405416 1756770 1873888 2342360 2810832 3513540 4684720 5621664 7027080 9369440 14054160 28108320