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5628330 = 2325232719
BaseRepresentation
bin10101011110000110101010
3101120221121200
4111132012222
52420101310
6320345030
765561061
oct25360652
911527550
105628330
1131a4714
121a75176
131220a96
14a671d8
157629c0
hex55e1aa

5628330 has 48 divisors (see below), whose sum is σ = 15275520. Its totient is φ = 1435104.

The previous prime is 5628319. The next prime is 5628331. The reversal of 5628330 is 338265.

5628330 is a `hidden beast` number, since 5 + 628 + 3 + 30 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 5628294 and 5628303.

It is not an unprimeable number, because it can be changed into a prime (5628331) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 711 + ... + 3429.

It is an arithmetic number, because the mean of its divisors is an integer number (318240).

Almost surely, 25628330 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5628330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7637760).

5628330 is an abundant number, since it is smaller than the sum of its proper divisors (9647190).

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

5628330 is a wasteful number, since it uses less digits than its factorization.

5628330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2755 (or 2752 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 5628330 is about 2372.4101668978. The cubic root of 5628330 is about 177.8797529820.

The spelling of 5628330 in words is "five million, six hundred twenty-eight thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 23 30 45 46 69 90 115 138 207 230 345 414 690 1035 2070 2719 5438 8157 13595 16314 24471 27190 40785 48942 62537 81570 122355 125074 187611 244710 312685 375222 562833 625370 938055 1125666 1876110 2814165 5628330