Search a number
-
+
28210000 = 245471331
BaseRepresentation
bin110101110011…
…1001101010000
31222002012211211
41223213031100
524210210000
62444345504
7461531620
oct153471520
958065754
1028210000
1114a18655
129545294
135ac9310
143a64880
1527237ba
hex1ae7350

28210000 has 200 divisors, whose sum is σ = 86772224. Its totient is φ = 8640000.

The previous prime is 28209997. The next prime is 28210001. The reversal of 28210000 is 1282.

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 (13).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28210001) 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 39 ways as a sum of consecutive naturals, for example, 909985 + ... + 910015.

Almost surely, 228210000 is an apocalyptic number.

28210000 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 28210000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43386112).

28210000 is an abundant number, since it is smaller than the sum of its proper divisors (58562224).

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

28210000 is a wasteful number, since it uses less digits than its factorization.

28210000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

The square root of 28210000 is about 5311.3086899558. The cubic root of 28210000 is about 304.4161544309.

Adding to 28210000 its reverse (1282), we get a palindrome (28211282).

The spelling of 28210000 in words is "twenty-eight million, two hundred ten thousand".