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28016640 = 21532519
BaseRepresentation
bin110101011100…
…0000000000000
31221201101121100
41222320000000
524133013030
62440254400
7460065111
oct152700000
957641540
1028016640
11148a6353
129471400
135a5c2c2
143a14208
1526d6360
hex1ab8000

28016640 has 192 divisors, whose sum is σ = 102234600. Its totient is φ = 7077888.

The previous prime is 28016633. The next prime is 28016657. The reversal of 28016640 is 4661082.

28016640 is a `hidden beast` number, since 2 + 8 + 0 + 16 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1474551 + ... + 1474569.

Almost surely, 228016640 is an apocalyptic number.

28016640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

28016640 is a droll number since its even prime factors and its odd prime factors have the same sum.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28016640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51117300).

28016640 is an abundant number, since it is smaller than the sum of its proper divisors (74217960).

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

28016640 is an equidigital number, since it uses as much as digits as its factorization.

28016640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60 (or 29 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 28016640 is about 5293.0747208026. The cubic root of 28016640 is about 303.7190386569.

The spelling of 28016640 in words is "twenty-eight million, sixteen thousand, six hundred forty".