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28375827480 = 233257311131607
BaseRepresentation
bin11010011011010101…
…001100010000011000
32201020120010101112100
4122123111030100120
5431103202434410
621011412243400
72023115361000
oct323325142030
981216111470
1028375827480
11110414621a0
1255bb010560
1328a2a47980
141532861000
15b112528c0
hex69b54c418

28375827480 has 768 divisors, whose sum is σ = 126427392000. Its totient is φ = 5439329280.

The previous prime is 28375827479. The next prime is 28375827503. The reversal of 28375827480 is 8472857382.

28375827480 is a `hidden beast` number, since 2 + 83 + 7 + 5 + 82 + 7 + 480 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 17656837 + ... + 17658443.

It is an arithmetic number, because the mean of its divisors is an integer number (164619000).

Almost surely, 228375827480 is an apocalyptic number.

28375827480 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 28375827480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63213696000).

28375827480 is an abundant number, since it is smaller than the sum of its proper divisors (98051564520).

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

28375827480 is a wasteful number, since it uses less digits than its factorization.

28375827480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1669 (or 1648 counting only the distinct ones).

The product of its (nonzero) digits is 6021120, while the sum is 54.

The spelling of 28375827480 in words is "twenty-eight billion, three hundred seventy-five million, eight hundred twenty-seven thousand, four hundred eighty".