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28645500 = 22353132113
BaseRepresentation
bin110110101000…
…1100001111100
31222220100020110
41231101201330
524313124000
62501550020
7465324402
oct155214174
958810213
1028645500
1115195874
129715310
135c1c600
143b39472
1527ac850
hex1b5187c

28645500 has 144 divisors (see below), whose sum is σ = 91125216. Its totient is φ = 6988800.

The previous prime is 28645499. The next prime is 28645517. The reversal of 28645500 is 554682.

It is a Harshad number since it is a multiple of its sum of digits (30).

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 47 ways as a sum of consecutive naturals, for example, 253444 + ... + 253556.

It is an arithmetic number, because the mean of its divisors is an integer number (632814).

Almost surely, 228645500 is an apocalyptic number.

28645500 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 28645500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45562608).

28645500 is an abundant number, since it is smaller than the sum of its proper divisors (62479716).

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

28645500 is a wasteful number, since it uses less digits than its factorization.

28645500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 30.

The square root of 28645500 is about 5352.1491010621. The cubic root of 28645500 is about 305.9746657654.

The spelling of 28645500 in words is "twenty-eight million, six hundred forty-five thousand, five hundred".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 25 26 30 39 50 52 60 65 75 78 100 113 125 130 150 156 169 195 226 250 260 300 325 338 339 375 390 452 500 507 565 650 676 678 750 780 845 975 1014 1130 1300 1356 1469 1500 1625 1690 1695 1950 2028 2260 2535 2825 2938 3250 3380 3390 3900 4225 4407 4875 5070 5650 5876 6500 6780 7345 8450 8475 8814 9750 10140 11300 12675 14125 14690 16900 16950 17628 19097 19500 21125 22035 25350 28250 29380 33900 36725 38194 42250 42375 44070 50700 56500 57291 63375 73450 76388 84500 84750 88140 95485 110175 114582 126750 146900 169500 183625 190970 220350 229164 253500 286455 367250 381940 440700 477425 550875 572910 734500 954850 1101750 1145820 1432275 1909700 2203500 2387125 2864550 4774250 5729100 7161375 9548500 14322750 28645500