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628960437 = 3373327833
BaseRepresentation
bin100101011111010…
…010110010110101
31121211111111112000
4211133102302311
52242003213222
6142224445513
721405034620
oct4537226265
91554444460
10628960437
112a3039316
12156779899
13a03c8651
145d764db7
153a33d9ac
hex257d2cb5

628960437 has 16 divisors (see below), whose sum is σ = 1064906880. Its totient is φ = 359405856.

The previous prime is 628960421. The next prime is 628960463. The reversal of 628960437 is 734069826.

628960437 is a `hidden beast` number, since 6 + 2 + 8 + 9 + 604 + 37 = 666.

It is not a de Polignac number, because 628960437 - 24 = 628960421 is a prime.

It is a super-2 number, since 2×6289604372 = 791182462622461938, which contains 22 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 628960392 and 628960401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (628960037) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1663728 + ... + 1664105.

It is an arithmetic number, because the mean of its divisors is an integer number (66556680).

Almost surely, 2628960437 is an apocalyptic number.

It is an amenable number.

628960437 is a deficient number, since it is larger than the sum of its proper divisors (435946443).

628960437 is a wasteful number, since it uses less digits than its factorization.

628960437 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3327849 (or 3327843 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The square root of 628960437 is about 25079.0836555086. The cubic root of 628960437 is about 856.7901060262.

The spelling of 628960437 in words is "six hundred twenty-eight million, nine hundred sixty thousand, four hundred thirty-seven".

Divisors: 1 3 7 9 21 27 63 189 3327833 9983499 23294831 29950497 69884493 89851491 209653479 628960437