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28550880 = 253452203
BaseRepresentation
bin110110011101…
…0011011100000
31222201112110000
41230322123200
524302112010
62455540000
7464451501
oct154723340
958645400
1028550880
1115130776
12968a600
135bb8517
143b12ba8
15278e7c0
hex1b3a6e0

28550880 has 120 divisors (see below), whose sum is σ = 100806552. Its totient is φ = 7610112.

The previous prime is 28550869. The next prime is 28550887. The reversal of 28550880 is 8805582.

28550880 is a `hidden beast` number, since 28 + 550 + 8 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28550887) 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 19 ways as a sum of consecutive naturals, for example, 11859 + ... + 14061.

Almost surely, 228550880 is an apocalyptic number.

28550880 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 28550880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50403276).

28550880 is an abundant number, since it is smaller than the sum of its proper divisors (72255672).

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

28550880 is a wasteful number, since it uses less digits than its factorization.

28550880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2230 (or 2213 counting only the distinct ones).

The product of its (nonzero) digits is 25600, while the sum is 36.

The square root of 28550880 is about 5343.3023496710. The cubic root of 28550880 is about 305.6374021088.

The spelling of 28550880 in words is "twenty-eight million, five hundred fifty thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 72 80 81 90 96 108 120 135 144 160 162 180 216 240 270 288 324 360 405 432 480 540 648 720 810 864 1080 1296 1440 1620 2160 2203 2592 3240 4320 4406 6480 6609 8812 11015 12960 13218 17624 19827 22030 26436 33045 35248 39654 44060 52872 59481 66090 70496 79308 88120 99135 105744 118962 132180 158616 176240 178443 198270 211488 237924 264360 297405 317232 352480 356886 396540 475848 528720 594810 634464 713772 793080 892215 951696 1057440 1189620 1427544 1586160 1784430 1903392 2379240 2855088 3172320 3568860 4758480 5710176 7137720 9516960 14275440 28550880