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28108546560 = 293352317681
BaseRepresentation
bin11010001011011001…
…100110001000000000
32200112221012010001000
4122023121212020000
5430031241442220
620525103412000
72013361463223
oct321331461000
980487163030
1028108546560
1110a145a6076
1255455b4000
13285c564693
1415091675ba
15ae7a58390
hex68b666200

28108546560 has 320 divisors, whose sum is σ = 104190831360. Its totient is φ = 7169310720.

The previous prime is 28108546549. The next prime is 28108546567. The reversal of 28108546560 is 6564580182.

28108546560 is a `hidden beast` number, since 2 + 8 + 1 + 0 + 85 + 4 + 6 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (320).

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

It is not an unprimeable number, because it can be changed into a prime (28108546567) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1580920 + ... + 1598600.

It is an arithmetic number, because the mean of its divisors is an integer number (325596348).

Almost surely, 228108546560 is an apocalyptic number.

28108546560 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 28108546560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52095415680).

28108546560 is an abundant number, since it is smaller than the sum of its proper divisors (76082284800).

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

28108546560 is a wasteful number, since it uses less digits than its factorization.

28108546560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17736 (or 17714 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 45.

It can be divided in two parts, 281085 and 46560, that added together give a triangular number (327645 = T809).

The spelling of 28108546560 in words is "twenty-eight billion, one hundred eight million, five hundred forty-six thousand, five hundred sixty".