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2028285000 = 233254747137
BaseRepresentation
bin111100011100101…
…0010110001001000
312020100120112221200
41320321102301020
513123220110000
6533133104200
7101156065230
oct17071226110
95210515850
102028285000
11950a065a5
12487328060
1326429b851
1415353ccc0
15bd0ed500
hex78e52c48

2028285000 has 480 divisors, whose sum is σ = 8070416640. Its totient is φ = 450432000.

The previous prime is 2028284989. The next prime is 2028285031. The reversal of 2028285000 is 5828202.

It is a super-2 number, since 2×20282850002 = 8227880082450000000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 14804932 + ... + 14805068.

It is an arithmetic number, because the mean of its divisors is an integer number (16813368).

Almost surely, 22028285000 is an apocalyptic number.

2028285000 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 2028285000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4035208320).

2028285000 is an abundant number, since it is smaller than the sum of its proper divisors (6042131640).

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

2028285000 is a wasteful number, since it uses less digits than its factorization.

2028285000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 223 (or 201 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The square root of 2028285000 is about 45036.4852092168. The cubic root of 2028285000 is about 1265.8327459617.

The spelling of 2028285000 in words is "two billion, twenty-eight million, two hundred eighty-five thousand".