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5728736 = 251347293
BaseRepresentation
bin10101110110100111100000
3101210001100102
4111312213200
52431304421
6322441532
766456566
oct25664740
911701312
105728736
1132630a2
121b032a8
1312576b0
14a91a36
1578260b
hex5769e0

5728736 has 48 divisors (see below), whose sum is σ = 12446784. Its totient is φ = 2578944.

The previous prime is 5728733. The next prime is 5728739. The reversal of 5728736 is 6378275.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (5728733) and next prime (5728739).

It is a self number, because there is not a number n which added to its sum of digits gives 5728736.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5728733) 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, 19406 + ... + 19698.

It is an arithmetic number, because the mean of its divisors is an integer number (259308).

Almost surely, 25728736 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 5728736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6223392).

5728736 is an abundant number, since it is smaller than the sum of its proper divisors (6718048).

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

5728736 is a wasteful number, since it uses less digits than its factorization.

5728736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 363 (or 355 counting only the distinct ones).

The product of its digits is 70560, while the sum is 38.

The square root of 5728736 is about 2393.4778043675. The cubic root of 5728736 is about 178.9312803845.

The spelling of 5728736 in words is "five million, seven hundred twenty-eight thousand, seven hundred thirty-six".

Divisors: 1 2 4 8 13 16 26 32 47 52 94 104 188 208 293 376 416 586 611 752 1172 1222 1504 2344 2444 3809 4688 4888 7618 9376 9776 13771 15236 19552 27542 30472 55084 60944 110168 121888 179023 220336 358046 440672 716092 1432184 2864368 5728736