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28000080 = 2434529149
BaseRepresentation
bin110101011001…
…1111101010000
31221200112220000
41222303331100
524132000310
62440050000
7456665613
oct152637520
957615800
1028000080
1114894969
129463900
135a548c4
143a0c17a
1526d14c0
hex1ab3f50

28000080 has 200 divisors, whose sum is σ = 101277000. Its totient is φ = 7160832.

The previous prime is 28000073. The next prime is 28000087. The reversal of 28000080 is 8000082.

It is an interprime number because it is at equal distance from previous prime (28000073) and next prime (28000087).

It can be written as a sum of positive squares in 4 ways, for example, as 374544 + 27625536 = 612^2 + 5256^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28000087) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 187846 + ... + 187994.

It is an arithmetic number, because the mean of its divisors is an integer number (506385).

Almost surely, 228000080 is an apocalyptic number.

28000080 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 28000080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50638500).

28000080 is an abundant number, since it is smaller than the sum of its proper divisors (73276920).

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

28000080 is a wasteful number, since it uses less digits than its factorization.

28000080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 203 (or 188 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 28000080 is about 5291.5101814132. The cubic root of 28000080 is about 303.6591863862.

The spelling of 28000080 in words is "twenty-eight million, eighty", and thus it is an aban number and an uban number.