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28264500 = 22325311571
BaseRepresentation
bin110101111010…
…0100000110100
31222011222121100
41223310200310
524213431000
62445450100
7462146535
oct153644064
958158540
1028264500
1114a555a0
129570930
135b18074
143a7a68c
152734a00
hex1af4834

28264500 has 144 divisors (see below), whose sum is σ = 97441344. Its totient is φ = 6840000.

The previous prime is 28264477. The next prime is 28264501. The reversal of 28264500 is 546282.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28264501) 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, 49215 + ... + 49785.

It is an arithmetic number, because the mean of its divisors is an integer number (676676).

Almost surely, 228264500 is an apocalyptic number.

28264500 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 28264500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48720672).

28264500 is an abundant number, since it is smaller than the sum of its proper divisors (69176844).

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

28264500 is a wasteful number, since it uses less digits than its factorization.

28264500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 607 (or 592 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 28264500 is about 5316.4367766390. The cubic root of 28264500 is about 304.6120661384.

The spelling of 28264500 in words is "twenty-eight million, two hundred sixty-four thousand, five hundred".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 25 30 33 36 44 45 50 55 60 66 75 90 99 100 110 125 132 150 165 180 198 220 225 250 275 300 330 375 396 450 495 500 550 571 660 750 825 900 990 1100 1125 1142 1375 1500 1650 1713 1980 2250 2284 2475 2750 2855 3300 3426 4125 4500 4950 5139 5500 5710 6281 6852 8250 8565 9900 10278 11420 12375 12562 14275 16500 17130 18843 20556 24750 25124 25695 28550 31405 34260 37686 42825 49500 51390 56529 57100 62810 71375 75372 85650 94215 102780 113058 125620 128475 142750 157025 171300 188430 214125 226116 256950 282645 285500 314050 376860 428250 471075 513900 565290 628100 642375 785125 856500 942150 1130580 1284750 1413225 1570250 1884300 2355375 2569500 2826450 3140500 4710750 5652900 7066125 9421500 14132250 28264500