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28706118840 = 233257219412089
BaseRepresentation
bin11010101111000001…
…001001110010111000
32202002120121221002200
4122233001021302320
5432242231300330
621104251430200
72034235661400
oct325701116270
982076557080
1028706118840
11111a0945a63
125691755360
1329262c0249
14156467b800
15b30246a60
hex6af049cb8

28706118840 has 576 divisors, whose sum is σ = 117080964000. Its totient is φ = 6061547520.

The previous prime is 28706118827. The next prime is 28706118853. The reversal of 28706118840 is 4881160782.

28706118840 is a `hidden beast` number, since 28 + 7 + 0 + 611 + 8 + 8 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (28706118827) and next prime (28706118853).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 13740516 + ... + 13742604.

Almost surely, 228706118840 is an apocalyptic number.

28706118840 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 28706118840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58540482000).

28706118840 is an abundant number, since it is smaller than the sum of its proper divisors (88374845160).

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

28706118840 is a wasteful number, since it uses less digits than its factorization.

28706118840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2180 (or 2166 counting only the distinct ones).

The product of its (nonzero) digits is 172032, while the sum is 45.

The spelling of 28706118840 in words is "twenty-eight billion, seven hundred six million, one hundred eighteen thousand, eight hundred forty".