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28244160 = 263357467
BaseRepresentation
bin110101110111…
…1100011000000
31222010221201000
41223233203000
524212303120
62445212000
7462033330
oct153574300
958127630
1028244160
1114a4128a
129561000
135b0ba29
143a730c0
15272d990
hex1aef8c0

28244160 has 224 divisors, whose sum is σ = 114117120. Its totient is φ = 6441984.

The previous prime is 28244147. The next prime is 28244171. The reversal of 28244160 is 6144282.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 60247 + ... + 60713.

Almost surely, 228244160 is an apocalyptic number.

28244160 is a gapful number since it is divisible by the number (20) 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 28244160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57058560).

28244160 is an abundant number, since it is smaller than the sum of its proper divisors (85872960).

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

28244160 is a wasteful number, since it uses less digits than its factorization.

28244160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 500 (or 484 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 28244160 is about 5314.5234969845. The cubic root of 28244160 is about 304.5389792125.

The spelling of 28244160 in words is "twenty-eight million, two hundred forty-four thousand, one hundred sixty".