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28317900 = 223521353137
BaseRepresentation
bin110110000000…
…1100011001100
31222021200212010
41230001203030
524222133100
62450541220
7462461322
oct154014314
958250763
1028317900
1114a91726
129597810
135b36470
143a91d12
152745750
hex1b018cc

28317900 has 144 divisors (see below), whose sum is σ = 90556704. Its totient is φ = 6789120.

The previous prime is 28317881. The next prime is 28317907. The reversal of 28317900 is 971382.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (28317907) 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, 206632 + ... + 206768.

It is an arithmetic number, because the mean of its divisors is an integer number (628866).

Almost surely, 228317900 is an apocalyptic number.

28317900 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 28317900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45278352).

28317900 is an abundant number, since it is smaller than the sum of its proper divisors (62238804).

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

28317900 is a wasteful number, since it uses less digits than its factorization.

28317900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 220 (or 213 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 30.

The square root of 28317900 is about 5321.4565675198. The cubic root of 28317900 is about 304.8037795496.

It can be divided in two parts, 2831 and 7900, that added together give a triangular number (10731 = T146).

The spelling of 28317900 in words is "twenty-eight million, three hundred seventeen thousand, nine hundred".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 25 26 30 39 50 52 53 60 65 75 78 100 106 130 137 150 156 159 195 212 260 265 274 300 318 325 390 411 530 548 636 650 685 689 780 795 822 975 1060 1300 1325 1370 1378 1590 1644 1781 1950 2055 2067 2650 2740 2756 3180 3425 3445 3562 3900 3975 4110 4134 5300 5343 6850 6890 7124 7261 7950 8220 8268 8905 10275 10335 10686 13700 13780 14522 15900 17225 17810 20550 20670 21372 21783 26715 29044 34450 35620 36305 41100 41340 43566 44525 51675 53430 68900 72610 87132 89050 94393 103350 106860 108915 133575 145220 178100 181525 188786 206700 217830 267150 283179 363050 377572 435660 471965 534300 544575 566358 726100 943930 1089150 1132716 1415895 1887860 2178300 2359825 2831790 4719650 5663580 7079475 9439300 14158950 28317900