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28595120 = 2451013539
BaseRepresentation
bin110110100010…
…1001110110000
31222210210010112
41231011032300
524310020440
62500520452
7465024461
oct155051660
958723115
1028595120
1115160a34
1296b0128
135c026b8
143b24d68
15279c965
hex1b453b0

28595120 has 40 divisors (see below), whose sum is σ = 67160880. Its totient is φ = 11321600.

The previous prime is 28595101. The next prime is 28595123. The reversal of 28595120 is 2159582.

It is a tau number, because it is divible by the number of its divisors (40).

It is not an unprimeable number, because it can be changed into a prime (28595123) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6311 + ... + 9849.

It is an arithmetic number, because the mean of its divisors is an integer number (1679022).

Almost surely, 228595120 is an apocalyptic number.

28595120 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 28595120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33580440).

28595120 is an abundant number, since it is smaller than the sum of its proper divisors (38565760).

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

28595120 is a wasteful number, since it uses less digits than its factorization.

28595120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3653 (or 3647 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 32.

The square root of 28595120 is about 5347.4405092530. The cubic root of 28595120 is about 305.7951838282.

The spelling of 28595120 in words is "twenty-eight million, five hundred ninety-five thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 101 202 404 505 808 1010 1616 2020 3539 4040 7078 8080 14156 17695 28312 35390 56624 70780 141560 283120 357439 714878 1429756 1787195 2859512 3574390 5719024 7148780 14297560 28595120