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28770 = 2357137
BaseRepresentation
bin111000001100010
31110110120
413001202
51410040
6341110
7146610
oct70142
943416
1028770
111a685
1214796
1310131
14a6b0
1587d0
hex7062

28770 has 32 divisors (see below), whose sum is σ = 79488. Its totient is φ = 6528.

The previous prime is 28759. The next prime is 28771. The reversal of 28770 is 7782.

It is a self number, because there is not a number n which added to its sum of digits gives 28770.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 28770.

It is not an unprimeable number, because it can be changed into a prime (28771) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 142 + ... + 278.

It is an arithmetic number, because the mean of its divisors is an integer number (2484).

228770 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28770, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39744).

28770 is an abundant number, since it is smaller than the sum of its proper divisors (50718).

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

28770 is a wasteful number, since it uses less digits than its factorization.

28770 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154.

The product of its (nonzero) digits is 784, while the sum is 24.

The square root of 28770 is about 169.6172161073. The cubic root of 28770 is about 30.6417304115.

The spelling of 28770 in words is "twenty-eight thousand, seven hundred seventy".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 70 105 137 210 274 411 685 822 959 1370 1918 2055 2877 4110 4795 5754 9590 14385 28770