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5832728 = 231179839
BaseRepresentation
bin10110010000000000011000
3101222022222222
4112100000120
52443121403
6325003212
7100402016
oct26200030
911868888
105832728
113324240
121b53508
131292b25
14abb8b6
157a3338
hex590018

5832728 has 32 divisors (see below), whose sum is σ = 12096000. Its totient is φ = 2614560.

The previous prime is 5832719. The next prime is 5832763. The reversal of 5832728 is 8272385.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6533 + ... + 7371.

It is an arithmetic number, because the mean of its divisors is an integer number (378000).

Almost surely, 25832728 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5832728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6048000).

5832728 is an abundant number, since it is smaller than the sum of its proper divisors (6263272).

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

5832728 is a wasteful number, since it uses less digits than its factorization.

5832728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 935 (or 931 counting only the distinct ones).

The product of its digits is 26880, while the sum is 35.

The square root of 5832728 is about 2415.1041385414. The cubic root of 5832728 is about 180.0074894003.

The spelling of 5832728 in words is "five million, eight hundred thirty-two thousand, seven hundred twenty-eight".

Divisors: 1 2 4 8 11 22 44 79 88 158 316 632 839 869 1678 1738 3356 3476 6712 6952 9229 18458 36916 66281 73832 132562 265124 530248 729091 1458182 2916364 5832728