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28409220 = 22325723221
BaseRepresentation
bin110110001011…
…1110110000100
31222110100010100
41230113312010
524233043340
62452524100
7463321500
oct154276604
958410110
1028409220
11150442a4
129620630
135b68bb8
143ab7300
152762830
hex1b17d84

28409220 has 108 divisors (see below), whose sum is σ = 100275084. Its totient is φ = 6491520.

The previous prime is 28409207. The next prime is 28409221. The reversal of 28409220 is 2290482.

It can be written as a sum of positive squares in 2 ways, for example, as 16257024 + 12152196 = 4032^2 + 3486^2 .

It is not an unprimeable number, because it can be changed into a prime (28409221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 7210 + ... + 10430.

It is an arithmetic number, because the mean of its divisors is an integer number (928473).

Almost surely, 228409220 is an apocalyptic number.

28409220 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 28409220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50137542).

28409220 is an abundant number, since it is smaller than the sum of its proper divisors (71865864).

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

28409220 is a wasteful number, since it uses less digits than its factorization.

28409220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3250 (or 3238 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 28409220 is about 5330.0300186772. The cubic root of 28409220 is about 305.1310732880.

The spelling of 28409220 in words is "twenty-eight million, four hundred nine thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 49 60 63 70 84 90 98 105 126 140 147 180 196 210 245 252 294 315 420 441 490 588 630 735 882 980 1260 1470 1764 2205 2940 3221 4410 6442 8820 9663 12884 16105 19326 22547 28989 32210 38652 45094 48315 57978 64420 67641 90188 96630 112735 115956 135282 144945 157829 193260 202923 225470 270564 289890 315658 338205 405846 450940 473487 579780 631316 676410 789145 811692 946974 1014615 1352820 1420461 1578290 1893948 2029230 2367435 2840922 3156580 4058460 4734870 5681844 7102305 9469740 14204610 28409220