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28728150 = 23521123757
BaseRepresentation
bin110110110010…
…1101101010110
32000001112121120
41231211231112
524323300100
62503424410
7466120353
oct155455526
960045546
1028728150
1115241980
129755106
135c4b109
143b5b62a
1527c70a0
hex1b65b56

28728150 has 96 divisors (see below), whose sum is σ = 81209088. Its totient is φ = 6652800.

The previous prime is 28728121. The next prime is 28728151. The reversal of 28728150 is 5182782.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28728151) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 37572 + ... + 38328.

It is an arithmetic number, because the mean of its divisors is an integer number (845928).

Almost surely, 228728150 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28728150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40604544).

28728150 is an abundant number, since it is smaller than the sum of its proper divisors (52480938).

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

28728150 is a wasteful number, since it uses less digits than its factorization.

28728150 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 806 (or 801 counting only the distinct ones).

The product of its (nonzero) digits is 8960, while the sum is 33.

The square root of 28728150 is about 5359.8647370992. The cubic root of 28728150 is about 306.2686563673.

The spelling of 28728150 in words is "twenty-eight million, seven hundred twenty-eight thousand, one hundred fifty".

Divisors: 1 2 3 5 6 10 11 15 22 23 25 30 33 46 50 55 66 69 75 110 115 138 150 165 230 253 275 330 345 506 550 575 690 757 759 825 1150 1265 1514 1518 1650 1725 2271 2530 3450 3785 3795 4542 6325 7570 7590 8327 11355 12650 16654 17411 18925 18975 22710 24981 34822 37850 37950 41635 49962 52233 56775 83270 87055 104466 113550 124905 174110 191521 208175 249810 261165 383042 416350 435275 522330 574563 624525 870550 957605 1149126 1249050 1305825 1915210 2611650 2872815 4788025 5745630 9576050 14364075 28728150