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28131235200 = 27365231389
BaseRepresentation
bin11010001100110000…
…001001010110000000
32200121111212211000000
4122030300021112000
5430103044011300
620531234000000
72014055360655
oct321460112600
980544784000
1028131235200
1110a26392412
125551116000
132864179803
14150c191c2c
15ae9a3ac00
hex68cc09580

28131235200 has 672 divisors, whose sum is σ = 107829259200. Its totient is φ = 7241011200.

The previous prime is 28131235177. The next prime is 28131235217. The reversal of 28131235200 is 253213182.

28131235200 is a `hidden beast` number, since 2 + 8 + 13 + 123 + 520 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 72316606 + ... + 72316994.

Almost surely, 228131235200 is an apocalyptic number.

28131235200 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 28131235200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53914629600).

28131235200 is an abundant number, since it is smaller than the sum of its proper divisors (79698024000).

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

28131235200 is an equidigital number, since it uses as much as digits as its factorization.

28131235200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 462 (or 430 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

Adding to 28131235200 its reverse (253213182), we get a palindrome (28384448382).

The spelling of 28131235200 in words is "twenty-eight billion, one hundred thirty-one million, two hundred thirty-five thousand, two hundred".