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28131304608 = 25321117618563
BaseRepresentation
bin11010001100110000…
…011010010010100000
32200121112000100012200
4122030300122102200
5430103103221413
620531235253200
72014056100221
oct321460322240
980545010180
1028131304608
1110a2642a580
12555114a200
1328641a2294
14150c1ad248
15ae9a51573
hex68cc1a4a0

28131304608 has 288 divisors, whose sum is σ = 93930363072. Its totient is φ = 7890739200.

The previous prime is 28131304559. The next prime is 28131304613. The reversal of 28131304608 is 80640313182.

28131304608 is a `hidden beast` number, since 2 + 8 + 13 + 1 + 30 + 4 + 608 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 3280935 + ... + 3289497.

It is an arithmetic number, because the mean of its divisors is an integer number (326147094).

Almost surely, 228131304608 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28131304608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46965181536).

28131304608 is an abundant number, since it is smaller than the sum of its proper divisors (65799058464).

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

28131304608 is a wasteful number, since it uses less digits than its factorization.

28131304608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8668 (or 8657 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 28131304608 in words is "twenty-eight billion, one hundred thirty-one million, three hundred four thousand, six hundred eight".