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628408 = 231137193
BaseRepresentation
bin10011001011010111000
31011221000101
42121122320
5130102113
621245144
75225044
oct2313270
91157011
10628408
1139a150
122637b4
13190051
14125024
15c62dd
hex996b8

628408 has 32 divisors (see below), whose sum is σ = 1326960. Its totient is φ = 276480.

The previous prime is 628399. The next prime is 628423. The reversal of 628408 is 804826.

628408 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×6284082 = 789793228928, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3160 + ... + 3352.

2628408 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 628408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (663480).

628408 is an abundant number, since it is smaller than the sum of its proper divisors (698552).

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

628408 is a wasteful number, since it uses less digits than its factorization.

628408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 247 (or 243 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 28.

The square root of 628408 is about 792.7218932261. The cubic root of 628408 is about 85.6539183406.

The spelling of 628408 in words is "six hundred twenty-eight thousand, four hundred eight".

Divisors: 1 2 4 8 11 22 37 44 74 88 148 193 296 386 407 772 814 1544 1628 2123 3256 4246 7141 8492 14282 16984 28564 57128 78551 157102 314204 628408