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28473984 = 2733711107
BaseRepresentation
bin110110010011…
…1101010000000
31222120121222000
41230213222000
524242131414
62454144000
7464011350
oct154475200
958517860
1028473984
1115088a20
129652000
135b8c516
143ad2b60
152776b09
hex1b27a80

28473984 has 256 divisors, whose sum is σ = 105753600. Its totient is φ = 7326720.

The previous prime is 28473959. The next prime is 28474003. The reversal of 28473984 is 48937482.

It is a nude number because it is divisible by every one of its digits.

It is a nialpdrome in base 12.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 266059 + ... + 266165.

It is an arithmetic number, because the mean of its divisors is an integer number (413100).

Almost surely, 228473984 is an apocalyptic number.

28473984 is a gapful number since it is divisible by the number (24) 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 28473984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52876800).

28473984 is an abundant number, since it is smaller than the sum of its proper divisors (77279616).

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

28473984 is a wasteful number, since it uses less digits than its factorization.

28473984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148 (or 130 counting only the distinct ones).

The product of its digits is 387072, while the sum is 45.

The square root of 28473984 is about 5336.1019480516. The cubic root of 28473984 is about 305.3627646329.

The spelling of 28473984 in words is "twenty-eight million, four hundred seventy-three thousand, nine hundred eighty-four".