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28639800 = 23325272273
BaseRepresentation
bin110110101000…
…0001000111000
31222220001102100
41231100020320
524312433200
62501503400
7465301650
oct155201070
958801370
1028639800
1115191562
129711b60
135c19b37
143b37360
1527aad00
hex1b50238

28639800 has 144 divisors (see below), whose sum is σ = 109970640. Its totient is φ = 6543360.

The previous prime is 28639799. The next prime is 28639817. The reversal of 28639800 is 893682.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 11464 + ... + 13736.

It is an arithmetic number, because the mean of its divisors is an integer number (763685).

Almost surely, 228639800 is an apocalyptic number.

28639800 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 28639800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54985320).

28639800 is an abundant number, since it is smaller than the sum of its proper divisors (81330840).

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

28639800 is a wasteful number, since it uses less digits than its factorization.

28639800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2302 (or 2290 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 28639800 is about 5351.6165781939. The cubic root of 28639800 is about 305.9543697179.

The spelling of 28639800 in words is "twenty-eight million, six hundred thirty-nine thousand, eight hundred".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 18 20 21 24 25 28 30 35 36 40 42 45 50 56 60 63 70 72 75 84 90 100 105 120 126 140 150 168 175 180 200 210 225 252 280 300 315 350 360 420 450 504 525 600 630 700 840 900 1050 1260 1400 1575 1800 2100 2273 2520 3150 4200 4546 6300 6819 9092 11365 12600 13638 15911 18184 20457 22730 27276 31822 34095 40914 45460 47733 54552 56825 63644 68190 79555 81828 90920 95466 102285 113650 127288 136380 143199 159110 163656 170475 190932 204570 227300 238665 272760 286398 318220 340950 381864 397775 409140 454600 477330 511425 572796 636440 681900 715995 795550 818280 954660 1022850 1145592 1193325 1363800 1431990 1591100 1909320 2045700 2386650 2863980 3182200 3579975 4091400 4773300 5727960 7159950 9546600 14319900 28639800