Search a number
-
+
28201110336 = 263572231609
BaseRepresentation
bin11010010000111010…
…101100101101000000
32200210101100211200000
4122100322230231000
5430223441012321
620542211400000
72015564324400
oct322072545500
980711324600
1028201110336
1110a61878663
1255705b3000
1328757a3549
141517580800
15b00c3e826
hex690eacb40

28201110336 has 504 divisors, whose sum is σ = 101816245440. Its totient is φ = 7702345728.

The previous prime is 28201110323. The next prime is 28201110337. The reversal of 28201110336 is 63301110282.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (504).

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 (28201110337) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 17526300 + ... + 17527908.

It is an arithmetic number, because the mean of its divisors is an integer number (202016360).

Almost surely, 228201110336 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28201110336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50908122720).

28201110336 is an abundant number, since it is smaller than the sum of its proper divisors (73615135104).

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

28201110336 is a wasteful number, since it uses less digits than its factorization.

28201110336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1673 (or 1644 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The spelling of 28201110336 in words is "twenty-eight billion, two hundred one million, one hundred ten thousand, three hundred thirty-six".