Search a number
-
+
28071360 = 26355192
BaseRepresentation
bin110101100010…
…1010111000000
31221211011200000
41223011113000
524141240420
62441400000
7460413462
oct153052700
957734600
1028071360
1114933479
129499000
135a7b195
143a2a132
1526e7690
hex1ac55c0

28071360 has 252 divisors, whose sum is σ = 105677208. Its totient is φ = 7091712.

The previous prime is 28071359. The next prime is 28071367. The reversal of 28071360 is 6317082.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28071367) 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 35 ways as a sum of consecutive naturals, for example, 1477431 + ... + 1477449.

It is an arithmetic number, because the mean of its divisors is an integer number (419354).

Almost surely, 228071360 is an apocalyptic number.

28071360 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 28071360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52838604).

28071360 is an abundant number, since it is smaller than the sum of its proper divisors (77605848).

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

28071360 is an equidigital number, since it uses as much as digits as its factorization.

28071360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70 (or 29 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 28071360 is about 5298.2412176117. The cubic root of 28071360 is about 303.9166438127.

The spelling of 28071360 in words is "twenty-eight million, seventy-one thousand, three hundred sixty".