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28658500 = 2253134409
BaseRepresentation
bin110110101010…
…0101101000100
31222221000001221
41231110231010
524314033000
62502130124
7465410323
oct155245504
958830057
1028658500
11151a4612
129720944
135c254c0
143b400ba
1527b161a
hex1b54b44

28658500 has 48 divisors (see below), whose sum is σ = 67420080. Its totient is φ = 10579200.

The previous prime is 28658491. The next prime is 28658503. The reversal of 28658500 is 585682.

It can be written as a sum of positive squares in 8 ways, for example, as 21678336 + 6980164 = 4656^2 + 2642^2 .

It is not an unprimeable number, because it can be changed into a prime (28658503) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4296 + ... + 8704.

It is an arithmetic number, because the mean of its divisors is an integer number (1404585).

Almost surely, 228658500 is an apocalyptic number.

28658500 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 28658500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33710040).

28658500 is an abundant number, since it is smaller than the sum of its proper divisors (38761580).

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

28658500 is a wasteful number, since it uses less digits than its factorization.

28658500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4441 (or 4429 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 34.

The square root of 28658500 is about 5353.3634287240. The cubic root of 28658500 is about 306.0209449260.

The spelling of 28658500 in words is "twenty-eight million, six hundred fifty-eight thousand, five hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 100 125 130 250 260 325 500 650 1300 1625 3250 4409 6500 8818 17636 22045 44090 57317 88180 110225 114634 220450 229268 286585 440900 551125 573170 1102250 1146340 1432925 2204500 2865850 5731700 7164625 14329250 28658500