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28569240 = 2333573779
BaseRepresentation
bin110110011111…
…0111010011000
31222202110122000
41230332322120
524303203430
62500201000
7464556150
oct154767230
958673560
1028569240
1115143547
129699160
135bc399b
143b19760
152794e60
hex1b3ee98

28569240 has 128 divisors (see below), whose sum is σ = 108864000. Its totient is φ = 6528384.

The previous prime is 28569239. The next prime is 28569241. The reversal of 28569240 is 4296582.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (28569239) and next prime (28569241).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 28569195 and 28569204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28569241) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5671 + ... + 9449.

It is an arithmetic number, because the mean of its divisors is an integer number (850500).

Almost surely, 228569240 is an apocalyptic number.

28569240 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 28569240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54432000).

28569240 is an abundant number, since it is smaller than the sum of its proper divisors (80294760).

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

28569240 is a wasteful number, since it uses less digits than its factorization.

28569240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3806 (or 3796 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 28569240 is about 5345.0201122166. The cubic root of 28569240 is about 305.7029027201.

The spelling of 28569240 in words is "twenty-eight million, five hundred sixty-nine thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 18 20 21 24 27 28 30 35 36 40 42 45 54 56 60 63 70 72 84 90 105 108 120 126 135 140 168 180 189 210 216 252 270 280 315 360 378 420 504 540 630 756 840 945 1080 1260 1512 1890 2520 3779 3780 7558 7560 11337 15116 18895 22674 26453 30232 34011 37790 45348 52906 56685 68022 75580 79359 90696 102033 105812 113370 132265 136044 151160 158718 170055 204066 211624 226740 238077 264530 272088 317436 340110 396795 408132 453480 476154 510165 529060 634872 680220 714231 793590 816264 952308 1020330 1058120 1190385 1360440 1428462 1587180 1904616 2040660 2380770 2856924 3174360 3571155 4081320 4761540 5713848 7142310 9523080 14284620 28569240