Search a number
-
+
28266498000 = 243253131131069
BaseRepresentation
bin11010010100110100…
…001000011111010000
32200221221101212200100
4122110310020133100
5430342210414000
620552505052400
72020320161106
oct322464103720
980857355610
1028266498000
1110a95779354
12558a487100
1328861b8880
141522121c76
15b06858a00
hex694d087d0

28266498000 has 480 divisors, whose sum is σ = 107360940960. Its totient is φ = 6889881600.

The previous prime is 28266497969. The next prime is 28266498047. The reversal of 28266498000 is 89466282.

It can be written as a sum of positive squares in 16 ways, for example, as 28232064576 + 34433424 = 168024^2 + 5868^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 26441466 + ... + 26442534.

It is an arithmetic number, because the mean of its divisors is an integer number (223668627).

Almost surely, 228266498000 is an apocalyptic number.

28266498000 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 28266498000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53680470480).

28266498000 is an abundant number, since it is smaller than the sum of its proper divisors (79094442960).

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

28266498000 is a wasteful number, since it uses less digits than its factorization.

28266498000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1224 (or 1205 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 28266498000 in words is "twenty-eight billion, two hundred sixty-six million, four hundred ninety-eight thousand".