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5428728 = 233341613
BaseRepresentation
bin10100101101010111111000
3101012210211000
4110231113320
52342204403
6312205000
764100124
oct24552770
911183730
105428728
113078758
121999760
131180c86
14a14584
157237a3
hex52d5f8

5428728 has 64 divisors (see below), whose sum is σ = 15472800. Its totient is φ = 1762560.

The previous prime is 5428727. The next prime is 5428739. The reversal of 5428728 is 8278245.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 5428692 and 5428701.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5428721) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8550 + ... + 9162.

Almost surely, 25428728 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 5428728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7736400).

5428728 is an abundant number, since it is smaller than the sum of its proper divisors (10044072).

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

5428728 is a wasteful number, since it uses less digits than its factorization.

5428728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 669 (or 659 counting only the distinct ones).

The product of its digits is 35840, while the sum is 36.

The square root of 5428728 is about 2329.9630898364. The cubic root of 5428728 is about 175.7516296935.

It can be divided in two parts, 54 and 28728, that added together give a palindrome (28782).

The spelling of 5428728 in words is "five million, four hundred twenty-eight thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 41 54 72 82 108 123 164 216 246 328 369 492 613 738 984 1107 1226 1476 1839 2214 2452 2952 3678 4428 4904 5517 7356 8856 11034 14712 16551 22068 25133 33102 44136 50266 66204 75399 100532 132408 150798 201064 226197 301596 452394 603192 678591 904788 1357182 1809576 2714364 5428728