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28086718464 = 21233727173
BaseRepresentation
bin11010001010000110…
…010101000000000000
32200111102010010112000
4122022012111000000
5430010144442324
620523003504000
72013005111400
oct321206250000
980442103460
1028086718464
1110a03247322
12553a228000
132857b9114c
1415062c4800
15ae5b959c9
hex68a195000

28086718464 has 624 divisors, whose sum is σ = 99502957440. Its totient is φ = 7803371520.

The previous prime is 28086718459. The next prime is 28086718477. The reversal of 28086718464 is 46481768082.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 28086718464.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 384749532 + ... + 384749604.

Almost surely, 228086718464 is an apocalyptic number.

28086718464 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 28086718464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49751478720).

28086718464 is an abundant number, since it is smaller than the sum of its proper divisors (71416238976).

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

28086718464 is an equidigital number, since it uses as much as digits as its factorization.

28086718464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 191 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 4128768, while the sum is 54.

The spelling of 28086718464 in words is "twenty-eight billion, eighty-six million, seven hundred eighteen thousand, four hundred sixty-four".