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28689300 = 223252127251
BaseRepresentation
bin110110101110…
…0001110010100
31222222120022200
41231130032110
524321024200
62502524500
7465566163
oct155341624
958876280
1028689300
1115215772
129736730
135c36523
143b4b3da
1527ba800
hex1b5c394

28689300 has 108 divisors (see below), whose sum is σ = 90994176. Its totient is φ = 7560000.

The previous prime is 28689289. The next prime is 28689329. The reversal of 28689300 is 398682.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 114175 + ... + 114425.

Almost surely, 228689300 is an apocalyptic number.

28689300 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 28689300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45497088).

28689300 is an abundant number, since it is smaller than the sum of its proper divisors (62304876).

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

28689300 is a wasteful number, since it uses less digits than its factorization.

28689300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 398 (or 388 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 28689300 is about 5356.2393523815. The cubic root of 28689300 is about 306.1305351061.

The spelling of 28689300 in words is "twenty-eight million, six hundred eighty-nine thousand, three hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 127 150 180 225 251 254 300 381 450 502 508 635 753 762 900 1004 1143 1255 1270 1506 1524 1905 2259 2286 2510 2540 3012 3175 3765 3810 4518 4572 5020 5715 6275 6350 7530 7620 9036 9525 11295 11430 12550 12700 15060 18825 19050 22590 22860 25100 28575 31877 37650 38100 45180 56475 57150 63754 75300 95631 112950 114300 127508 159385 191262 225900 286893 318770 382524 478155 573786 637540 796925 956310 1147572 1434465 1593850 1912620 2390775 2868930 3187700 4781550 5737860 7172325 9563100 14344650 28689300