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28952700 = 22352717811
BaseRepresentation
bin110111001110…
…0100001111100
32000110221122020
41232130201330
524402441300
62512320140
7501044130
oct156344174
960427566
1028952700
1115385657
129843050
135cc939a
143bb93c0
15281d8a0
hex1b9c87c

28952700 has 144 divisors (see below), whose sum is σ = 101493504. Its totient is φ = 6220800.

The previous prime is 28952669. The next prime is 28952711. The reversal of 28952700 is 725982.

28952700 = T219 + T220 + ... + T568.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 35295 + ... + 36105.

It is an arithmetic number, because the mean of its divisors is an integer number (704816).

Almost surely, 228952700 is an apocalyptic number.

28952700 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 28952700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50746752).

28952700 is an abundant number, since it is smaller than the sum of its proper divisors (72540804).

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

28952700 is a wasteful number, since it uses less digits than its factorization.

28952700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 852 (or 845 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 33.

The square root of 28952700 is about 5380.7713201733. The cubic root of 28952700 is about 307.0645565167.

The spelling of 28952700 in words is "twenty-eight million, nine hundred fifty-two thousand, seven hundred".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 17 20 21 25 28 30 34 35 42 50 51 60 68 70 75 84 85 100 102 105 119 140 150 170 175 204 210 238 255 300 340 350 357 420 425 476 510 525 595 700 714 811 850 1020 1050 1190 1275 1428 1622 1700 1785 2100 2380 2433 2550 2975 3244 3570 4055 4866 5100 5677 5950 7140 8110 8925 9732 11354 11900 12165 13787 16220 17031 17850 20275 22708 24330 27574 28385 34062 35700 40550 41361 48660 55148 56770 60825 68124 68935 81100 82722 85155 96509 113540 121650 137870 141925 165444 170310 193018 206805 243300 275740 283850 289527 340620 344675 386036 413610 425775 482545 567700 579054 689350 827220 851550 965090 1034025 1158108 1378700 1447635 1703100 1930180 2068050 2412725 2895270 4136100 4825450 5790540 7238175 9650900 14476350 28952700