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28359700 = 2252416917
BaseRepresentation
bin110110000101…
…1110000010100
31222100211012021
41230023300110
524230002300
62451502524
7463024225
oct154136024
958324167
1028359700
1115010076
1295b7a44
135b4c4b5
143aa324c
152752d1a
hex1b0bc14

28359700 has 36 divisors (see below), whose sum is σ = 63050652. Its totient is φ = 11065600.

The previous prime is 28359679. The next prime is 28359701. The reversal of 28359700 is 795382.

28359700 is nontrivially palindromic in base 13.

It can be written as a sum of positive squares in 6 ways, for example, as 3319684 + 25040016 = 1822^2 + 5004^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28359701) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 642 + ... + 7558.

It is an arithmetic number, because the mean of its divisors is an integer number (1751407).

Almost surely, 228359700 is an apocalyptic number.

28359700 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 28359700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31525326).

28359700 is an abundant number, since it is smaller than the sum of its proper divisors (34690952).

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

28359700 is a wasteful number, since it uses less digits than its factorization.

28359700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6972 (or 6965 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 34.

The square root of 28359700 is about 5325.3826153620. The cubic root of 28359700 is about 304.9536792506.

The spelling of 28359700 in words is "twenty-eight million, three hundred fifty-nine thousand, seven hundred".

Divisors: 1 2 4 5 10 20 25 41 50 82 100 164 205 410 820 1025 2050 4100 6917 13834 27668 34585 69170 138340 172925 283597 345850 567194 691700 1134388 1417985 2835970 5671940 7089925 14179850 28359700