Search a number
-
+
28398760 = 2351324201
BaseRepresentation
bin110110001010…
…1010010101000
31222102210202221
41230111102220
524232230020
62452403424
7463246135
oct154252250
958383687
1028398760
1115037455
129616574
135b64200
143ab358c
15275e6aa
hex1b154a8

28398760 has 48 divisors (see below), whose sum is σ = 69206940. Its totient is φ = 10483200.

The previous prime is 28398707. The next prime is 28398761. The reversal of 28398760 is 6789382.

It can be written as a sum of positive squares in 6 ways, for example, as 75076 + 28323684 = 274^2 + 5322^2 .

It is not an unprimeable number, because it can be changed into a prime (28398761) 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 11 ways as a sum of consecutive naturals, for example, 4660 + ... + 8860.

Almost surely, 228398760 is an apocalyptic number.

28398760 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 28398760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34603470).

28398760 is an abundant number, since it is smaller than the sum of its proper divisors (40808180).

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

28398760 is a wasteful number, since it uses less digits than its factorization.

28398760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4238 (or 4221 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 43.

The square root of 28398760 is about 5329.0486955929. The cubic root of 28398760 is about 305.0936199211.

The spelling of 28398760 in words is "twenty-eight million, three hundred ninety-eight thousand, seven hundred sixty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 169 260 338 520 676 845 1352 1690 3380 4201 6760 8402 16804 21005 33608 42010 54613 84020 109226 168040 218452 273065 436904 546130 709969 1092260 1419938 2184520 2839876 3549845 5679752 7099690 14199380 28398760