Search a number
-
+
28026000 = 243453173
BaseRepresentation
bin110101011101…
…0010010010000
31221201212110000
41222322102100
524133313000
62440410000
7460134312
oct152722220
957655400
1028026000
1114902392
129476900
135a63642
143a177b2
1526d9000
hex1aba490

28026000 has 200 divisors, whose sum is σ = 101817144. Its totient is φ = 7430400.

The previous prime is 28025999. The next prime is 28026017. The reversal of 28026000 is 62082.

It can be written as a sum of positive squares in 4 ways, for example, as 20736 + 28005264 = 144^2 + 5292^2 .

It is a tau number, because it is divible by the number of its divisors (200).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 161914 + ... + 162086.

Almost surely, 228026000 is an apocalyptic number.

28026000 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 28026000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50908572).

28026000 is an abundant number, since it is smaller than the sum of its proper divisors (73791144).

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

28026000 is a wasteful number, since it uses less digits than its factorization.

28026000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208 (or 183 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 28026000 is about 5293.9588211470. The cubic root of 28026000 is about 303.7528577692.

Adding to 28026000 its reverse (62082), we get a palindrome (28088082).

The spelling of 28026000 in words is "twenty-eight million, twenty-six thousand".