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28220416 = 210731127
BaseRepresentation
bin110101110100…
…1110000000000
31222002202010121
41223221300000
524211023131
62444510024
7461604160
oct153516000
958082117
1028220416
1114a25464
12954b314
135b00c93
143a685a0
152726911
hex1ae9c00

28220416 has 88 divisors (see below), whose sum is σ = 67076096. Its totient is φ = 11612160.

The previous prime is 28220411. The next prime is 28220417. The reversal of 28220416 is 61402282.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28220411) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 222145 + ... + 222271.

Almost surely, 228220416 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 28220416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33538048).

28220416 is an abundant number, since it is smaller than the sum of its proper divisors (38855680).

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

28220416 is a wasteful number, since it uses less digits than its factorization.

28220416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 25.

The square root of 28220416 is about 5312.2891487569. The cubic root of 28220416 is about 304.4536164242.

Adding to 28220416 its reverse (61402282), we get a palindrome (89622698).

The spelling of 28220416 in words is "twenty-eight million, two hundred twenty thousand, four hundred sixteen".

Divisors: 1 2 4 7 8 14 16 28 31 32 56 62 64 112 124 127 128 217 224 248 254 256 434 448 496 508 512 868 889 896 992 1016 1024 1736 1778 1792 1984 2032 3472 3556 3584 3937 3968 4064 6944 7112 7168 7874 7936 8128 13888 14224 15748 15872 16256 27559 27776 28448 31496 31744 32512 55118 55552 56896 62992 65024 110236 111104 113792 125984 130048 220472 222208 227584 251968 440944 455168 503936 881888 910336 1007872 1763776 2015744 3527552 4031488 7055104 14110208 28220416