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28144896 = 283132819
BaseRepresentation
bin110101101011…
…1010100000000
31221221220112120
41223113110000
524201114041
62443124240
7461141043
oct153272400
957856476
1028144896
111498374a
129513680
135aa57b0
143a48c5a
15270e366
hex1ad7500

28144896 has 72 divisors (see below), whose sum is σ = 80697120. Its totient is φ = 8656896.

The previous prime is 28144873. The next prime is 28144903. The reversal of 28144896 is 69844182.

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, 8575 + ... + 11393.

Almost surely, 228144896 is an apocalyptic number.

28144896 is a gapful number since it is divisible by the number (26) 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 28144896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40348560).

28144896 is an abundant number, since it is smaller than the sum of its proper divisors (52552224).

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

28144896 is a wasteful number, since it uses less digits than its factorization.

28144896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2851 (or 2837 counting only the distinct ones).

The product of its digits is 110592, while the sum is 42.

The square root of 28144896 is about 5305.1763401418. The cubic root of 28144896 is about 304.1817933888.

The spelling of 28144896 in words is "twenty-eight million, one hundred forty-four thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 128 156 192 208 256 312 384 416 624 768 832 1248 1664 2496 2819 3328 4992 5638 8457 9984 11276 16914 22552 33828 36647 45104 67656 73294 90208 109941 135312 146588 180416 219882 270624 293176 360832 439764 541248 586352 721664 879528 1082496 1172704 1759056 2164992 2345408 3518112 4690816 7036224 9381632 14072448 28144896