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28753800 = 23352172819
BaseRepresentation
bin110110110101…
…1111110001000
32000002211210120
41231223332020
524330110200
62504143240
7466255215
oct155537610
960084716
1028753800
111525a179
129767b20
135c599aa
143b66b0c
1527ce9a0
hex1b6bf88

28753800 has 96 divisors (see below), whose sum is σ = 94413600. Its totient is φ = 7214080.

The previous prime is 28753759. The next prime is 28753849. The reversal of 28753800 is 835782.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8791 + ... + 11609.

It is an arithmetic number, because the mean of its divisors is an integer number (983475).

Almost surely, 228753800 is an apocalyptic number.

28753800 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 28753800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47206800).

28753800 is an abundant number, since it is smaller than the sum of its proper divisors (65659800).

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

28753800 is a wasteful number, since it uses less digits than its factorization.

28753800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2855 (or 2846 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 33.

The square root of 28753800 is about 5362.2569875007. The cubic root of 28753800 is about 306.3597801625.

The spelling of 28753800 in words is "twenty-eight million, seven hundred fifty-three thousand, eight hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 17 20 24 25 30 34 40 50 51 60 68 75 85 100 102 120 136 150 170 200 204 255 300 340 408 425 510 600 680 850 1020 1275 1700 2040 2550 2819 3400 5100 5638 8457 10200 11276 14095 16914 22552 28190 33828 42285 47923 56380 67656 70475 84570 95846 112760 140950 143769 169140 191692 211425 239615 281900 287538 338280 383384 422850 479230 563800 575076 718845 845700 958460 1150152 1198075 1437690 1691400 1916920 2396150 2875380 3594225 4792300 5750760 7188450 9584600 14376900 28753800