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28406864 = 2417181577
BaseRepresentation
bin110110001011…
…1010001010000
31222110012220002
41230113101100
524233004424
62452505132
7463311563
oct154272120
958405802
1028406864
1115042552
12961b1a8
135b67ac5
143ab64da
152761cae
hex1b17450

28406864 has 40 divisors (see below), whose sum is σ = 58699368. Its totient is φ = 13271040.

The previous prime is 28406839. The next prime is 28406879. The reversal of 28406864 is 46860482.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 7795264 + 20611600 = 2792^2 + 4540^2 .

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 7 ways as a sum of consecutive naturals, for example, 48944 + ... + 49520.

Almost surely, 228406864 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 28406864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29349684).

28406864 is an abundant number, since it is smaller than the sum of its proper divisors (30292504).

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

28406864 is a wasteful number, since it uses less digits than its factorization.

28406864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 783 (or 777 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 38.

The square root of 28406864 is about 5329.8090022064. The cubic root of 28406864 is about 305.1226381312.

The spelling of 28406864 in words is "twenty-eight million, four hundred six thousand, eight hundred sixty-four".

Divisors: 1 2 4 8 16 17 34 68 136 181 272 362 577 724 1154 1448 2308 2896 3077 4616 6154 9232 9809 12308 19618 24616 39236 49232 78472 104437 156944 208874 417748 835496 1670992 1775429 3550858 7101716 14203432 28406864