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628128936 = 23328724013
BaseRepresentation
bin100101011100000…
…111110010101000
31121202221020220200
4211130013302220
52241300111221
6142154552200
721365002461
oct4534076250
91552836820
10628128936
112a2620626
12156438660
13a0197036
145d5c9d68
153a227426
hex25707ca8

628128936 has 24 divisors (see below), whose sum is σ = 1701182730. Its totient is φ = 209376288.

The previous prime is 628128911. The next prime is 628128967. The reversal of 628128936 is 639821826.

628128936 is a `hidden beast` number, since 628 + 12 + 8 + 9 + 3 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 356076900 + 272052036 = 18870^2 + 16494^2 .

It is a tau number, because it is divible by the number of its divisors (24).

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

It is a junction number, because it is equal to n+sod(n) for n = 628128891 and 628128900.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 4361935 + ... + 4362078.

Almost surely, 2628128936 is an apocalyptic number.

It is an amenable number.

628128936 is an abundant number, since it is smaller than the sum of its proper divisors (1073053794).

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

628128936 is a wasteful number, since it uses less digits than its factorization.

628128936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8724025 (or 8724018 counting only the distinct ones).

The product of its digits is 248832, while the sum is 45.

The square root of 628128936 is about 25062.5005935162. The cubic root of 628128936 is about 856.4123737317.

The spelling of 628128936 in words is "six hundred twenty-eight million, one hundred twenty-eight thousand, nine hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 8724013 17448026 26172039 34896052 52344078 69792104 78516117 104688156 157032234 209376312 314064468 628128936