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28107428509440 = 283657311271093
BaseRepresentation
bin1100110010000010001010…
…10010101011011100000000
310200112001012000112122000000
412121001011102223130000
512141003003144300230
6135440212512000000
75630460165220440
oct631010522533400
9120461160478000
1028107428509440
118a573256a8475
12319b4a8b30000
13128b699704537
146d259a380120
1533b213295b60
hex1990454ab700

28107428509440 has 2016 divisors, whose sum is σ = 120132238442496. Its totient is φ = 6162712657920.

The previous prime is 28107428509429. The next prime is 28107428509441. The reversal of 28107428509440 is 4490582470182.

28107428509440 is a `hidden beast` number, since 2 + 8 + 1 + 0 + 74 + 28 + 509 + 4 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

It is a super-2 number, since 2×281074285094402 (a number of 28 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28107428509441) by changing a digit.

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 223 ways as a sum of consecutive naturals, for example, 25715853534 + ... + 25715854626.

Almost surely, 228107428509440 is an apocalyptic number.

28107428509440 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 28107428509440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60066119221248).

28107428509440 is an abundant number, since it is smaller than the sum of its proper divisors (92024809933056).

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

28107428509440 is a wasteful number, since it uses less digits than its factorization.

28107428509440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1297 (or 1268 counting only the distinct ones).

The product of its (nonzero) digits is 5160960, while the sum is 54.

The spelling of 28107428509440 in words is "twenty-eight trillion, one hundred seven billion, four hundred twenty-eight million, five hundred nine thousand, four hundred forty".