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28280280384 = 2634231132099
BaseRepresentation
bin11010010101101000…
…101101010101000000
32200222220100002120000
4122111220231111000
5430404222433014
620554120320000
72020545263016
oct322550552500
980886302500
1028280280384
1110aa2532254
125593013000
132889002c25
141523cac8b6
15b07b7c509
hex695a2d540

28280280384 has 280 divisors, whose sum is σ = 88292635200. Its totient is φ = 8932847616.

The previous prime is 28280280359. The next prime is 28280280389. The reversal of 28280280384 is 48308208282.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28280280389) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 13472167 + ... + 13474265.

It is an arithmetic number, because the mean of its divisors is an integer number (315330840).

Almost surely, 228280280384 is an apocalyptic number.

28280280384 is a gapful number since it is divisible by the number (24) 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 28280280384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44146317600).

28280280384 is an abundant number, since it is smaller than the sum of its proper divisors (60012354816).

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

28280280384 is a wasteful number, since it uses less digits than its factorization.

28280280384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2259 (or 2240 counting only the distinct ones).

The product of its (nonzero) digits is 393216, while the sum is 45.

The spelling of 28280280384 in words is "twenty-eight billion, two hundred eighty million, two hundred eighty thousand, three hundred eighty-four".