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28705536 = 28334153
BaseRepresentation
bin110110110000…
…0001100000000
32000000101121000
41231200030000
524322034121
62503132000
7465664416
oct155401400
960011530
1028705536
1115226992
129744000
135c40a32
143b532b6
1527c0526
hex1b60300

28705536 has 72 divisors (see below), whose sum is σ = 84907760. Its totient is φ = 9566208.

The previous prime is 28705529. The next prime is 28705559. The reversal of 28705536 is 63550782.

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

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

It is a nialpdrome in base 12.

It is a self number, because there is not a number n which added to its sum of digits gives 28705536.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4836 + ... + 8988.

Almost surely, 228705536 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28705536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42453880).

28705536 is an abundant number, since it is smaller than the sum of its proper divisors (56202224).

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

28705536 is an equidigital number, since it uses as much as digits as its factorization.

28705536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4178 (or 4158 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The square root of 28705536 is about 5357.7547536258. The cubic root of 28705536 is about 306.1882732181.

It can be divided in two parts, 28705 and 536, that added together give a square (29241 = 1712).

The spelling of 28705536 in words is "twenty-eight million, seven hundred five thousand, five hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 256 288 384 432 576 768 864 1152 1728 2304 3456 4153 6912 8306 12459 16612 24918 33224 37377 49836 66448 74754 99672 112131 132896 149508 199344 224262 265792 299016 398688 448524 531584 598032 797376 897048 1063168 1196064 1594752 1794096 2392128 3189504 3588192 4784256 7176384 9568512 14352768 28705536