Search a number
-
+
28028760 = 23351311783
BaseRepresentation
bin110101011101…
…0111101011000
31221202000020020
41222322331120
524133410020
62440430440
7460145334
oct152727530
957660206
1028028760
1114904471
129478420
135a64986
143a187c4
1526d9c40
hex1abaf58

28028760 has 64 divisors (see below), whose sum is σ = 84775680. Its totient is φ = 7413120.

The previous prime is 28028753. The next prime is 28028807. The reversal of 28028760 is 6782082.

It is a super-2 number, since 2×280287602 = 1571222774275200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14829 + ... + 16611.

It is an arithmetic number, because the mean of its divisors is an integer number (1324620).

Almost surely, 228028760 is an apocalyptic number.

28028760 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 28028760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42387840).

28028760 is an abundant number, since it is smaller than the sum of its proper divisors (56746920).

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

28028760 is a wasteful number, since it uses less digits than its factorization.

28028760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1928 (or 1924 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 33.

The square root of 28028760 is about 5294.2194892165. The cubic root of 28028760 is about 303.7628286340.

The spelling of 28028760 in words is "twenty-eight million, twenty-eight thousand, seven hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 131 262 393 524 655 786 1048 1310 1572 1783 1965 2620 3144 3566 3930 5240 5349 7132 7860 8915 10698 14264 15720 17830 21396 26745 35660 42792 53490 71320 106980 213960 233573 467146 700719 934292 1167865 1401438 1868584 2335730 2802876 3503595 4671460 5605752 7007190 9342920 14014380 28028760