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28883463840 = 25335711312801
BaseRepresentation
bin11010111001100101…
…101010111010100000
32202112221022222201000
4122321211222322200
5433123131320330
621134024512000
72041521251250
oct327145527240
982487288630
1028883463840
1111281a64980
12572101b600
132953c7480a
141580043960
15b40ac8560
hex6b996aea0

28883463840 has 768 divisors, whose sum is σ = 130149089280. Its totient is φ = 5806080000.

The previous prime is 28883463821. The next prime is 28883463857. The reversal of 28883463840 is 4836438882.

28883463840 is a `hidden beast` number, since 28 + 8 + 83 + 463 + 84 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 10310440 + ... + 10313240.

It is an arithmetic number, because the mean of its divisors is an integer number (169464960).

Almost surely, 228883463840 is an apocalyptic number.

28883463840 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 28883463840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65074544640).

28883463840 is an abundant number, since it is smaller than the sum of its proper divisors (101265625440).

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

28883463840 is a wasteful number, since it uses less digits than its factorization.

28883463840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2874 (or 2860 counting only the distinct ones).

The product of its (nonzero) digits is 7077888, while the sum is 54.

The spelling of 28883463840 in words is "twenty-eight billion, eight hundred eighty-three million, four hundred sixty-three thousand, eight hundred forty".