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2128636728 = 23321910315107
BaseRepresentation
bin111111011100000…
…0110101100111000
312111100101221122100
41332320012230320
513324412333403
6551120023400
7103515053661
oct17670065470
95440357570
102128636728
119a2618309
124b4a61b60
1327c00647a
141629c2368
15c6d222a3
hex7ee06b38

2128636728 has 96 divisors (see below), whose sum is σ = 6127804800. Its totient is φ = 665630784.

The previous prime is 2128636667. The next prime is 2128636739. The reversal of 2128636728 is 8276368212.

2128636728 is a `hidden beast` number, since 2 + 1 + 2 + 8 + 636 + 7 + 2 + 8 = 666.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 133351 + ... + 148457.

It is an arithmetic number, because the mean of its divisors is an integer number (63831300).

Almost surely, 22128636728 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 2128636728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3063902400).

2128636728 is an abundant number, since it is smaller than the sum of its proper divisors (3999168072).

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

2128636728 is a wasteful number, since it uses less digits than its factorization.

2128636728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15241 (or 15234 counting only the distinct ones).

The product of its digits is 387072, while the sum is 45.

The square root of 2128636728 is about 46137.1512774684. The cubic root of 2128636728 is about 1286.3737931609.

The spelling of 2128636728 in words is "two billion, one hundred twenty-eight million, six hundred thirty-six thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 36 38 57 72 76 103 114 152 171 206 228 309 342 412 456 618 684 824 927 1236 1368 1854 1957 2472 3708 3914 5871 7416 7828 11742 15107 15656 17613 23484 30214 35226 45321 46968 60428 70452 90642 120856 135963 140904 181284 271926 287033 362568 543852 574066 861099 1087704 1148132 1556021 1722198 2296264 2583297 3112042 3444396 4668063 5166594 6224084 6888792 9336126 10333188 12448168 14004189 18672252 20666376 28008378 29564399 37344504 56016756 59128798 88693197 112033512 118257596 177386394 236515192 266079591 354772788 532159182 709545576 1064318364 2128636728