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28149120 = 27355181
BaseRepresentation
bin110101101100…
…0010110000000
31221222010100000
41223120112000
524201232440
62443200000
7461156256
oct153302600
957863300
1028149120
111498693a
129516000
135aa76ac
143a4a5d6
152710730
hex1ad8580

28149120 has 192 divisors, whose sum is σ = 101359440. Its totient is φ = 7464960.

The previous prime is 28149113. The next prime is 28149131. The reversal of 28149120 is 2194182.

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

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 155430 + ... + 155610.

Almost surely, 228149120 is an apocalyptic number.

28149120 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 28149120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50679720).

28149120 is an abundant number, since it is smaller than the sum of its proper divisors (73210320).

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

28149120 is an equidigital number, since it uses as much as digits as its factorization.

28149120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 215 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 28149120 is about 5305.5744269589. The cubic root of 28149120 is about 304.1970098792.

The spelling of 28149120 in words is "twenty-eight million, one hundred forty-nine thousand, one hundred twenty".