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28643400 = 23325215913
BaseRepresentation
bin110110101000…
…1000001001000
31222220020100200
41231101001020
524313042100
62501532200
7465315312
oct155210110
958806320
1028643400
1115194235
129714060
135c1b676
143b387b2
1527abe00
hex1b51048

28643400 has 72 divisors (see below), whose sum is σ = 96200130. Its totient is φ = 7637760.

The previous prime is 28643399. The next prime is 28643423. The reversal of 28643400 is 434682.

It can be written as a sum of positive squares in 3 ways, for example, as 24980004 + 3663396 = 4998^2 + 1914^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 6157 + ... + 9756.

Almost surely, 228643400 is an apocalyptic number.

28643400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

28643400 is an abundant number, since it is smaller than the sum of its proper divisors (67556730).

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

28643400 is a wasteful number, since it uses less digits than its factorization.

28643400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15935 (or 15923 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 28643400 is about 5351.9529145911. The cubic root of 28643400 is about 305.9671885875.

The spelling of 28643400 in words is "twenty-eight million, six hundred forty-three thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 30 36 40 45 50 60 72 75 90 100 120 150 180 200 225 300 360 450 600 900 1800 15913 31826 47739 63652 79565 95478 127304 143217 159130 190956 238695 286434 318260 381912 397825 477390 572868 636520 716085 795650 954780 1145736 1193475 1432170 1591300 1909560 2386950 2864340 3182600 3580425 4773900 5728680 7160850 9547800 14321700 28643400