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28219136 = 28112911
BaseRepresentation
bin110101110100…
…1011100000000
31222002200101012
41223221130000
524211003021
62444500052
7461600351
oct153513400
958080335
1028219136
1114a24500
12954a628
135b0051a
143a67d28
15272635b
hex1ae9700

28219136 has 54 divisors (see below), whose sum is σ = 61982256. Its totient is φ = 12812800.

The previous prime is 28219073. The next prime is 28219153. The reversal of 28219136 is 63191282.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 30521 + ... + 31431.

Almost surely, 228219136 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 28219136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30991128).

28219136 is an abundant number, since it is smaller than the sum of its proper divisors (33763120).

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

28219136 is an equidigital number, since it uses as much as digits as its factorization.

28219136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 949 (or 924 counting only the distinct ones).

The product of its digits is 5184, while the sum is 32.

The square root of 28219136 is about 5312.1686720209. The cubic root of 28219136 is about 304.4490132967.

The spelling of 28219136 in words is "twenty-eight million, two hundred nineteen thousand, one hundred thirty-six".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 121 128 176 242 256 352 484 704 911 968 1408 1822 1936 2816 3644 3872 7288 7744 10021 14576 15488 20042 29152 30976 40084 58304 80168 110231 116608 160336 220462 233216 320672 440924 641344 881848 1282688 1763696 2565376 3527392 7054784 14109568 28219136