Search a number
-
+
5628000 = 25353767
BaseRepresentation
bin10101011110000001100000
3101120221011110
4111132001200
52420044000
6320343320
765560110
oct25360140
911527143
105628000
1131a4444
121a74b40
1312208a1
14a67040
15762850
hex55e060

5628000 has 192 divisors, whose sum is σ = 21385728. Its totient is φ = 1267200.

The previous prime is 5627989. The next prime is 5628041. The reversal of 5628000 is 8265.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 83967 + ... + 84033.

It is an arithmetic number, because the mean of its divisors is an integer number (111384).

Almost surely, 25628000 is an apocalyptic number.

5628000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5628000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10692864).

5628000 is an abundant number, since it is smaller than the sum of its proper divisors (15757728).

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

5628000 is a wasteful number, since it uses less digits than its factorization.

5628000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 5628000 is about 2372.3406163534. The cubic root of 5628000 is about 177.8762764348.

The spelling of 5628000 in words is "five million, six hundred twenty-eight thousand".