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28687360 = 210513431
BaseRepresentation
bin110110101101…
…1110000000000
31222222110122211
41231123300000
524320443420
62502511504
7465560422
oct155336000
958873584
1028687360
1115214269
129735594
135c35690
143b4a812
1527b9e5a
hex1b5bc00

28687360 has 88 divisors (see below), whose sum is σ = 74281536. Its totient is φ = 10567680.

The previous prime is 28687357. The next prime is 28687367. The reversal of 28687360 is 6378682.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28687367) 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 7 ways as a sum of consecutive naturals, for example, 66345 + ... + 66775.

Almost surely, 228687360 is an apocalyptic number.

28687360 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 28687360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37140768).

28687360 is an abundant number, since it is smaller than the sum of its proper divisors (45594176).

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

28687360 is a wasteful number, since it uses less digits than its factorization.

28687360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 469 (or 451 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 40.

The square root of 28687360 is about 5356.0582521104. The cubic root of 28687360 is about 306.1236346633.

The spelling of 28687360 in words is "twenty-eight million, six hundred eighty-seven thousand, three hundred sixty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 64 65 80 104 128 130 160 208 256 260 320 416 431 512 520 640 832 862 1024 1040 1280 1664 1724 2080 2155 2560 3328 3448 4160 4310 5120 5603 6656 6896 8320 8620 11206 13312 13792 16640 17240 22412 27584 28015 33280 34480 44824 55168 56030 66560 68960 89648 110336 112060 137920 179296 220672 224120 275840 358592 441344 448240 551680 717184 896480 1103360 1434368 1792960 2206720 2868736 3585920 5737472 7171840 14343680 28687360