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28688250 = 2353291319
BaseRepresentation
bin110110101101…
…1111101111010
31222222111212210
41231123331322
524321011000
62502515550
7465563133
oct155337572
958874783
1028688250
11152149a8
129735bb6
135c35bc6
143b4ac8a
1527ba350
hex1b5bf7a

28688250 has 64 divisors (see below), whose sum is σ = 74131200. Its totient is φ = 7380800.

The previous prime is 28688227. The next prime is 28688263. The reversal of 28688250 is 5288682.

It is a junction number, because it is equal to n+sod(n) for n = 28688199 and 28688208.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21091 + ... + 22409.

It is an arithmetic number, because the mean of its divisors is an integer number (1158300).

Almost surely, 228688250 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28688250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37065600).

28688250 is an abundant number, since it is smaller than the sum of its proper divisors (45442950).

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

28688250 is a wasteful number, since it uses less digits than its factorization.

28688250 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1368 (or 1358 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 39.

The square root of 28688250 is about 5356.1413349537. The cubic root of 28688250 is about 306.1268003690.

The spelling of 28688250 in words is "twenty-eight million, six hundred eighty-eight thousand, two hundred fifty".

Divisors: 1 2 3 5 6 10 15 25 29 30 50 58 75 87 125 145 150 174 250 290 375 435 725 750 870 1319 1450 2175 2638 3625 3957 4350 6595 7250 7914 10875 13190 19785 21750 32975 38251 39570 65950 76502 98925 114753 164875 191255 197850 229506 329750 382510 494625 573765 956275 989250 1147530 1912550 2868825 4781375 5737650 9562750 14344125 28688250