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28284495360 = 29351132767
BaseRepresentation
bin11010010101111000…
…110010011000000000
32201000012021020102020
4122111320302120000
5430411312322420
620554350521440
72020626146412
oct322570623000
981005236366
1028284495360
1110aa4951000
125594506280
132889b4a5b4
1415246889b2
15b08211340
hex695e32600

28284495360 has 320 divisors, whose sum is σ = 99493346304. Its totient is φ = 6854369280.

The previous prime is 28284495329. The next prime is 28284495361. The reversal of 28284495360 is 6359448282.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (320).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28284495361) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10220697 + ... + 10223463.

Almost surely, 228284495360 is an apocalyptic number.

28284495360 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 28284495360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49746673152).

28284495360 is an abundant number, since it is smaller than the sum of its proper divisors (71208850944).

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

28284495360 is an equidigital number, since it uses as much as digits as its factorization.

28284495360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2826 (or 2788 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 51.

The spelling of 28284495360 in words is "twenty-eight billion, two hundred eighty-four million, four hundred ninety-five thousand, three hundred sixty".