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28398240 = 25325133741
BaseRepresentation
bin110110001010…
…1001010100000
31222102210001200
41230111022200
524232220430
62452401200
7463244463
oct154251240
958383050
1028398240
1115037022
129616200
135b63bc0
143ab32da
15275e460
hex1b152a0

28398240 has 288 divisors, whose sum is σ = 109798416. Its totient is φ = 6635520.

The previous prime is 28398239. The next prime is 28398247. The reversal of 28398240 is 4289382.

28398240 is a `hidden beast` number, since 28 + 398 + 240 = 666.

It is a Cunningham number, because it is equal to 734-1.

It can be written as a sum of positive squares in 8 ways, for example, as 5702544 + 22695696 = 2388^2 + 4764^2 .

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 28398195 and 28398204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28398247) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 692620 + ... + 692660.

Almost surely, 228398240 is an apocalyptic number.

28398240 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 28398240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54899208).

28398240 is an abundant number, since it is smaller than the sum of its proper divisors (81400176).

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

28398240 is a wasteful number, since it uses less digits than its factorization.

28398240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 28398240 is about 5328.9999061738. Note that the first 4 decimals coincide. The cubic root of 28398240 is about 305.0917577547.

The spelling of 28398240 in words is "twenty-eight million, three hundred ninety-eight thousand, two hundred forty".