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28093320 = 23325731069
BaseRepresentation
bin110101100101…
…0101110001000
31221212021210100
41223022232020
524142441240
62442045400
7460534503
oct153125610
957767710
1028093320
1114948a22
1294a9860
135a88188
143a3413a
1526ede30
hex1acab88

28093320 has 96 divisors (see below), whose sum is σ = 92640600. Its totient is φ = 7382016.

The previous prime is 28093309. The next prime is 28093321. The reversal of 28093320 is 2339082.

It can be written as a sum of positive squares in 4 ways, for example, as 22867524 + 5225796 = 4782^2 + 2286^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28093321) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 25746 + ... + 26814.

Almost surely, 228093320 is an apocalyptic number.

28093320 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 28093320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46320300).

28093320 is an abundant number, since it is smaller than the sum of its proper divisors (64547280).

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

28093320 is a wasteful number, since it uses less digits than its factorization.

28093320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1159 (or 1152 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 28093320 is about 5300.3131982931. The cubic root of 28093320 is about 303.9958736744.

The spelling of 28093320 in words is "twenty-eight million, ninety-three thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 73 90 120 146 180 219 292 360 365 438 584 657 730 876 1069 1095 1314 1460 1752 2138 2190 2628 2920 3207 3285 4276 4380 5256 5345 6414 6570 8552 8760 9621 10690 12828 13140 16035 19242 21380 25656 26280 32070 38484 42760 48105 64140 76968 78037 96210 128280 156074 192420 234111 312148 384840 390185 468222 624296 702333 780370 936444 1170555 1404666 1560740 1872888 2341110 2809332 3121480 3511665 4682220 5618664 7023330 9364440 14046660 28093320