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28055040 = 293513281
BaseRepresentation
bin110101100000…
…1011000000000
31221210100021120
41223001120000
524140230130
62441152240
7460315056
oct153013000
957710246
1028055040
1114922192
12948b680
135a73920
143a241d6
1526e2910
hex1ac1600

28055040 has 160 divisors (see below), whose sum is σ = 96931296. Its totient is φ = 6881280.

The previous prime is 28055021. The next prime is 28055047. The reversal of 28055040 is 4055082.

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 28055040.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28055047) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 99700 + ... + 99980.

Almost surely, 228055040 is an apocalyptic number.

28055040 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 28055040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48465648).

28055040 is an abundant number, since it is smaller than the sum of its proper divisors (68876256).

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

28055040 is a wasteful number, since it uses less digits than its factorization.

28055040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 320 (or 304 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 24.

The square root of 28055040 is about 5296.7008599693. The cubic root of 28055040 is about 303.8577358352.

The spelling of 28055040 in words is "twenty-eight million, fifty-five thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 32 39 40 48 52 60 64 65 78 80 96 104 120 128 130 156 160 192 195 208 240 256 260 281 312 320 384 390 416 480 512 520 562 624 640 768 780 832 843 960 1040 1124 1248 1280 1405 1536 1560 1664 1686 1920 2080 2248 2496 2560 2810 3120 3328 3372 3653 3840 4160 4215 4496 4992 5620 6240 6656 6744 7306 7680 8320 8430 8992 9984 10959 11240 12480 13488 14612 16640 16860 17984 18265 19968 21918 22480 24960 26976 29224 33280 33720 35968 36530 43836 44960 49920 53952 54795 58448 67440 71936 73060 87672 89920 99840 107904 109590 116896 134880 143872 146120 175344 179840 215808 219180 233792 269760 292240 350688 359680 431616 438360 467584 539520 584480 701376 719360 876720 935168 1079040 1168960 1402752 1753440 1870336 2158080 2337920 2805504 3506880 4675840 5611008 7013760 9351680 14027520 28055040