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628480 = 285491
BaseRepresentation
bin10011001011100000000
31011221010001
42121130000
5130102410
621245344
75225206
oct2313400
91157101
10628480
1139a206
12263854
131900a8
14125076
15c633a
hex99700

628480 has 36 divisors (see below), whose sum is σ = 1508472. Its totient is φ = 250880.

The previous prime is 628477. The next prime is 628487. The reversal of 628480 is 84826.

It is a super-2 number, since 2×6284802 = 789974220800, which contains 22 as substring.

It is a nialpdrome in base 16.

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 pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1035 + ... + 1525.

It is an arithmetic number, because the mean of its divisors is an integer number (41902).

2628480 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 628480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (754236).

628480 is an abundant number, since it is smaller than the sum of its proper divisors (879992).

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

628480 is an equidigital number, since it uses as much as digits as its factorization.

628480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 512 (or 498 counting only the distinct ones).

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

The square root of 628480 is about 792.7673050776. The cubic root of 628480 is about 85.6571894886.

The spelling of 628480 in words is "six hundred twenty-eight thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 491 640 982 1280 1964 2455 3928 4910 7856 9820 15712 19640 31424 39280 62848 78560 125696 157120 314240 628480