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28576125270 = 23457211293761
BaseRepresentation
bin11010100111010001…
…010001000101010110
32201202112000120110000
4122213101101011112
5432010442002040
621043325312130
72031100025400
oct324721210526
981675016400
1028576125270
1111134528960
125656105646
1329053a7684
1415512bdb70
15b23b1a130
hex6a7451156

28576125270 has 960 divisors, whose sum is σ = 105295671360. Its totient is φ = 5486745600.

The previous prime is 28576125247. The next prime is 28576125271. The reversal of 28576125270 is 7252167582.

28576125270 is a `hidden beast` number, since 2 + 8 + 5 + 7 + 612 + 5 + 27 + 0 = 666.

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

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28576125271) by changing a digit.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 468461040 + ... + 468461100.

It is an arithmetic number, because the mean of its divisors is an integer number (109682991).

Almost surely, 228576125270 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28576125270, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52647835680).

28576125270 is an abundant number, since it is smaller than the sum of its proper divisors (76719546090).

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

28576125270 is a wasteful number, since it uses less digits than its factorization.

28576125270 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 470400, while the sum is 45.

The spelling of 28576125270 in words is "twenty-eight billion, five hundred seventy-six million, one hundred twenty-five thousand, two hundred seventy".