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28028862000 = 2433534312071
BaseRepresentation
bin11010000110101001…
…100111111000110000
32200100101020201101000
4122012221213320300
5424400342041000
620513135442000
72011403252556
oct320651477060
980311221330
1028028862000
111098361a967
125522986300
132848bb4a59
1414dc743bd6
15ae0a68000
hex686a67e30

28028862000 has 320 divisors, whose sum is σ = 102749137920. Its totient is φ = 7299936000.

The previous prime is 28028861969. The next prime is 28028862019. The reversal of 28028862000 is 26882082.

28028862000 is a `hidden beast` number, since 2 + 8 + 0 + 28 + 8 + 620 + 0 + 0 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2315965 + ... + 2328035.

It is an arithmetic number, because the mean of its divisors is an integer number (321091056).

Almost surely, 228028862000 is an apocalyptic number.

28028862000 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 28028862000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51374568960).

28028862000 is an abundant number, since it is smaller than the sum of its proper divisors (74720275920).

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

28028862000 is a wasteful number, since it uses less digits than its factorization.

28028862000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12146 (or 12124 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The spelling of 28028862000 in words is "twenty-eight billion, twenty-eight million, eight hundred sixty-two thousand".