Search a number
-
+
28805040 = 24325113637
BaseRepresentation
bin110110111100…
…0011110110000
32000012110002100
41231320132300
524333230130
62505220400
7466560465
oct155703660
960173070
1028805040
1115294720
129791700
135c77104
143b7b66c
1527dec60
hex1b787b0

28805040 has 120 divisors (see below), whose sum is σ = 105560208. Its totient is φ = 6981120.

The previous prime is 28805017. The next prime is 28805041. The reversal of 28805040 is 4050882.

It is a tau number, because it is divible by the number of its divisors (120).

It is a junction number, because it is equal to n+sod(n) for n = 28804995 and 28805013.

It is not an unprimeable number, because it can be changed into a prime (28805041) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6102 + ... + 9738.

Almost surely, 228805040 is an apocalyptic number.

28805040 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 28805040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52780104).

28805040 is an abundant number, since it is smaller than the sum of its proper divisors (76755168).

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

28805040 is a wasteful number, since it uses less digits than its factorization.

28805040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3667 (or 3658 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The square root of 28805040 is about 5367.0326997327. The cubic root of 28805040 is about 306.5416524679.

The spelling of 28805040 in words is "twenty-eight million, eight hundred five thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 11 12 15 16 18 20 22 24 30 33 36 40 44 45 48 55 60 66 72 80 88 90 99 110 120 132 144 165 176 180 198 220 240 264 330 360 396 440 495 528 660 720 792 880 990 1320 1584 1980 2640 3637 3960 7274 7920 10911 14548 18185 21822 29096 32733 36370 40007 43644 54555 58192 65466 72740 80014 87288 109110 120021 130932 145480 160028 163665 174576 200035 218220 240042 261864 290960 320056 327330 360063 400070 436440 480084 523728 600105 640112 654660 720126 800140 872880 960168 1200210 1309320 1440252 1600280 1800315 1920336 2400420 2618640 2880504 3200560 3600630 4800840 5761008 7201260 9601680 14402520 28805040