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628488 = 233272943
BaseRepresentation
bin10011001011100001000
31011221010100
42121130020
5130102423
621245400
75225220
oct2313410
91157110
10628488
1139a213
12263860
131900b3
14125080
15c6343
hex99708

628488 has 96 divisors (see below), whose sum is σ = 2059200. Its totient is φ = 169344.

The previous prime is 628487. The next prime is 628493. The reversal of 628488 is 884826.

It is a super-2 number, since 2×6284882 = 789994332288, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (628487) 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, 14595 + ... + 14637.

It is an arithmetic number, because the mean of its divisors is an integer number (21450).

2628488 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 628488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1029600).

628488 is an abundant number, since it is smaller than the sum of its proper divisors (1430712).

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

628488 is a wasteful number, since it uses less digits than its factorization.

628488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91 (or 84 counting only the distinct ones).

The product of its digits is 24576, while the sum is 36.

The square root of 628488 is about 792.7723506783. The cubic root of 628488 is about 85.6575529340.

The spelling of 628488 in words is "six hundred twenty-eight thousand, four hundred eighty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 29 36 42 43 56 58 63 72 84 86 87 116 126 129 168 172 174 203 232 252 258 261 301 344 348 387 406 504 516 522 602 609 696 774 812 903 1032 1044 1204 1218 1247 1548 1624 1806 1827 2088 2408 2436 2494 2709 3096 3612 3654 3741 4872 4988 5418 7224 7308 7482 8729 9976 10836 11223 14616 14964 17458 21672 22446 26187 29928 34916 44892 52374 69832 78561 89784 104748 157122 209496 314244 628488