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28308268800 = 283452729269
BaseRepresentation
bin11010010111010011…
…011110011100000000
32201001212000001110000
4122113103132130000
5430433404100200
621001000240000
72021335212630
oct322723363400
981055001400
1028308268800
1111007309379
1255a0470000
132891a52416
1415278b66c0
15b0a35a300
hex6974de700

28308268800 has 1080 divisors, whose sum is σ = 124206112800. Its totient is φ = 6224117760.

The previous prime is 28308268759. The next prime is 28308268801. The reversal of 28308268800 is 886280382.

28308268800 is a `hidden beast` number, since 2 + 8 + 308 + 268 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1080).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28308268801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 105235066 + ... + 105235334.

It is an arithmetic number, because the mean of its divisors is an integer number (115005660).

Almost surely, 228308268800 is an apocalyptic number.

28308268800 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 28308268800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62103056400).

28308268800 is an abundant number, since it is smaller than the sum of its proper divisors (95897844000).

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

28308268800 is a wasteful number, since it uses less digits than its factorization.

28308268800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 343 (or 315 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 45.

The spelling of 28308268800 in words is "twenty-eight billion, three hundred eight million, two hundred sixty-eight thousand, eight hundred".