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4382728 = 237611283
BaseRepresentation
bin10000101110000000001000
322020122222021
4100232000020
52110221403
6233534224
752152430
oct20560010
98218867
104382728
112523899
121574374
13ba5b3c
148212c0
155b88bd
hex42e008

4382728 has 32 divisors (see below), whose sum is σ = 9552960. Its totient is φ = 1846080.

The previous prime is 4382723. The next prime is 4382731. The reversal of 4382728 is 8272834.

It is a Smith number, since the sum of its digits (34) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 4382693 and 4382702.

It is not an unprimeable number, because it can be changed into a prime (4382723) 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, 2775 + ... + 4057.

It is an arithmetic number, because the mean of its divisors is an integer number (298530).

Almost surely, 24382728 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 4382728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4776480).

4382728 is an abundant number, since it is smaller than the sum of its proper divisors (5170232).

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

4382728 is a wasteful number, since it uses less digits than its factorization.

4382728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1357 (or 1353 counting only the distinct ones).

The product of its digits is 21504, while the sum is 34.

The square root of 4382728 is about 2093.4965966058. The cubic root of 4382728 is about 163.6495590556.

The spelling of 4382728 in words is "four million, three hundred eighty-two thousand, seven hundred twenty-eight".

Divisors: 1 2 4 7 8 14 28 56 61 122 244 427 488 854 1283 1708 2566 3416 5132 8981 10264 17962 35924 71848 78263 156526 313052 547841 626104 1095682 2191364 4382728