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1628328 = 2331317307
BaseRepresentation
bin110001101100010101000
310001201122110
412031202220
5404101303
654522320
716561212
oct6154250
93051573
101628328
11a12429
126663a0
13450210
143055b2
15222703
hex18d8a8

1628328 has 64 divisors (see below), whose sum is σ = 4656960. Its totient is φ = 470016.

The previous prime is 1628323. The next prime is 1628329. The reversal of 1628328 is 8238261.

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 = 1628295 and 1628304.

It is not an unprimeable number, because it can be changed into a prime (1628323) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5151 + ... + 5457.

It is an arithmetic number, because the mean of its divisors is an integer number (72765).

21628328 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 1628328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2328480).

1628328 is an abundant number, since it is smaller than the sum of its proper divisors (3028632).

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

1628328 is a wasteful number, since it uses less digits than its factorization.

1628328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 346 (or 342 counting only the distinct ones).

The product of its digits is 4608, while the sum is 30.

The square root of 1628328 is about 1276.0595597385. The cubic root of 1628328 is about 117.6469385489.

The spelling of 1628328 in words is "one million, six hundred twenty-eight thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 13 17 24 26 34 39 51 52 68 78 102 104 136 156 204 221 307 312 408 442 614 663 884 921 1228 1326 1768 1842 2456 2652 3684 3991 5219 5304 7368 7982 10438 11973 15657 15964 20876 23946 31314 31928 41752 47892 62628 67847 95784 125256 135694 203541 271388 407082 542776 814164 1628328