Search a number
-
+
28227968000 = 21053832657
BaseRepresentation
bin11010010010100001…
…001001110000000000
32200212020220100110022
4122102201021300000
5430302324434000
620545011153012
72016341524541
oct322241116000
980766810408
1028227968000
1110a75a52181
1255795a5768
13287b21815b
14151ad724c8
15b03297585
hex692849c00

28227968000 has 176 divisors, whose sum is σ = 71297894304. Its totient is φ = 11150950400.

The previous prime is 28227967997. The next prime is 28227968009. The reversal of 28227968000 is 86972282.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28227968009) 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 15 ways as a sum of consecutive naturals, for example, 10622672 + ... + 10625328.

Almost surely, 228227968000 is an apocalyptic number.

28227968000 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 28227968000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35648947152).

28227968000 is an abundant number, since it is smaller than the sum of its proper divisors (43069926304).

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

28227968000 is an equidigital number, since it uses as much as digits as its factorization.

28227968000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2775 (or 2747 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 44.

The spelling of 28227968000 in words is "twenty-eight billion, two hundred twenty-seven million, nine hundred sixty-eight thousand".