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5528628 = 2233771103
BaseRepresentation
bin10101000101110000110100
3101101212212000
4111011300310
52403404003
6314255300
764664310
oct25056064
911355760
105528628
113136816
121a27530
1311b75a1
14a3cb40
157431a3
hex545c34

5528628 has 96 divisors (see below), whose sum is σ = 16773120. Its totient is φ = 1542240.

The previous prime is 5528623. The next prime is 5528641. The reversal of 5528628 is 8268255.

5528628 is a `hidden beast` number, since 5 + 5 + 28 + 628 = 666.

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 = 5528592 and 5528601.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5528623) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 53625 + ... + 53727.

It is an arithmetic number, because the mean of its divisors is an integer number (174720).

Almost surely, 25528628 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 5528628, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8386560).

5528628 is an abundant number, since it is smaller than the sum of its proper divisors (11244492).

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

5528628 is a wasteful number, since it uses less digits than its factorization.

5528628 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 194 (or 186 counting only the distinct ones).

The product of its digits is 38400, while the sum is 36.

The square root of 5528628 is about 2351.3034682916. The cubic root of 5528628 is about 176.8231499890.

It can be divided in two parts, 552 and 8628, that added together give a triangular number (9180 = T135).

The spelling of 5528628 in words is "five million, five hundred twenty-eight thousand, six hundred twenty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 71 84 103 108 126 142 189 206 213 252 284 309 378 412 426 497 618 639 721 756 852 927 994 1236 1278 1442 1491 1854 1917 1988 2163 2556 2781 2884 2982 3708 3834 4326 4473 5562 5964 6489 7313 7668 8652 8946 11124 12978 13419 14626 17892 19467 21939 25956 26838 29252 38934 43878 51191 53676 65817 77868 87756 102382 131634 153573 197451 204764 263268 307146 394902 460719 614292 789804 921438 1382157 1842876 2764314 5528628