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28102232340 = 223457131979127
BaseRepresentation
bin11010001011000001…
…100000100100010100
32200112111022022120000
4122023001200210110
5430023132413330
620524320211300
72013254014350
oct321301404424
980474268500
1028102232340
1110a10a83106
125543469b30
13285b163660
1415083a2460
15ae720c560
hex68b060914

28102232340 has 960 divisors, whose sum is σ = 116568883200. Its totient is φ = 5502422016.

The previous prime is 28102232303. The next prime is 28102232363. The reversal of 28102232340 is 4323220182.

28102232340 is a `hidden beast` number, since 281 + 0 + 22 + 323 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 221277357 + ... + 221277483.

It is an arithmetic number, because the mean of its divisors is an integer number (121425920).

Almost surely, 228102232340 is an apocalyptic number.

28102232340 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 28102232340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58284441600).

28102232340 is an abundant number, since it is smaller than the sum of its proper divisors (88466650860).

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

28102232340 is a wasteful number, since it uses less digits than its factorization.

28102232340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 266 (or 255 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The spelling of 28102232340 in words is "twenty-eight billion, one hundred two million, two hundred thirty-two thousand, three hundred forty".