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28285000 = 23545657
BaseRepresentation
bin110101111100…
…1100001001000
31222020000201121
41223321201020
524220110000
62450125024
7462263362
oct153714110
958200647
1028285000
1114a69a37
129580774
135b244b3
143a83d32
15273ab1a
hex1af9848

28285000 has 40 divisors (see below), whose sum is σ = 66283470. Its totient is φ = 11312000.

The previous prime is 28284973. The next prime is 28285003. The reversal of 28285000 is 58282.

It can be written as a sum of positive squares in 5 ways, for example, as 427716 + 27857284 = 654^2 + 5278^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (28285003) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 2172 + ... + 7828.

Almost surely, 228285000 is an apocalyptic number.

28285000 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 28285000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33141735).

28285000 is an abundant number, since it is smaller than the sum of its proper divisors (37998470).

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

28285000 is an equidigital number, since it uses as much as digits as its factorization.

28285000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5683 (or 5664 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 25.

The square root of 28285000 is about 5318.3644102299. The cubic root of 28285000 is about 304.6856925161.

The spelling of 28285000 in words is "twenty-eight million, two hundred eighty-five thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 625 1000 1250 2500 5000 5657 11314 22628 28285 45256 56570 113140 141425 226280 282850 565700 707125 1131400 1414250 2828500 3535625 5657000 7071250 14142500 28285000