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28656403776 = 26337111316567
BaseRepresentation
bin11010101100000011…
…100000010101000000
32201222010002010212000
4122230003200111000
5432142014410101
621055314104000
72033063261460
oct325403402500
981863063760
1028656403776
111117587a330
125678b7b000
132918c04750
14155bc19ba0
15b2abc6486
hex6ac0e0540

28656403776 has 448 divisors, whose sum is σ = 113118351360. Its totient is φ = 6870251520.

The previous prime is 28656403729. The next prime is 28656403829. The reversal of 28656403776 is 67730465682.

28656403776 is a `hidden beast` number, since 2 + 8 + 6 + 564 + 0 + 3 + 7 + 76 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1721445 + ... + 1738011.

It is an arithmetic number, because the mean of its divisors is an integer number (252496320).

Almost surely, 228656403776 is an apocalyptic number.

28656403776 is a gapful number since it is divisible by the number (26) 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 28656403776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56559175680).

28656403776 is an abundant number, since it is smaller than the sum of its proper divisors (84461947584).

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

28656403776 is a wasteful number, since it uses less digits than its factorization.

28656403776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16619 (or 16603 counting only the distinct ones).

The product of its (nonzero) digits is 10160640, while the sum is 54.

The spelling of 28656403776 in words is "twenty-eight billion, six hundred fifty-six million, four hundred three thousand, seven hundred seventy-six".