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1928698968 = 2337191075647
BaseRepresentation
bin111001011110101…
…1001110001011000
311222102012001121010
41302331121301120
512422221331333
6515214413520
765536446030
oct16275316130
94872161533
101928698968
118aa778099
12459b012a0
132497715c1
141442188c0
15b44cb563
hex72f59c58

1928698968 has 128 divisors (see below), whose sum is σ = 5855846400. Its totient is φ = 517083264.

The previous prime is 1928698921. The next prime is 1928698973. The reversal of 1928698968 is 8698968291.

It is a junction number, because it is equal to n+sod(n) for n = 1928698899 and 1928698908.

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 31 ways as a sum of consecutive naturals, for example, 338721 + ... + 344367.

It is an arithmetic number, because the mean of its divisors is an integer number (45748800).

Almost surely, 21928698968 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 1928698968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2927923200).

1928698968 is an abundant number, since it is smaller than the sum of its proper divisors (3927147432).

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

1928698968 is a wasteful number, since it uses less digits than its factorization.

1928698968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5789 (or 5785 counting only the distinct ones).

The product of its digits is 26873856, while the sum is 66.

The square root of 1928698968 is about 43916.9553589499. The cubic root of 1928698968 is about 1244.7672383043.

The spelling of 1928698968 in words is "one billion, nine hundred twenty-eight million, six hundred ninety-eight thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 19 21 24 28 38 42 56 57 76 84 107 114 133 152 168 214 228 266 321 399 428 456 532 642 749 798 856 1064 1284 1498 1596 2033 2247 2568 2996 3192 4066 4494 5647 5992 6099 8132 8988 11294 12198 14231 16264 16941 17976 22588 24396 28462 33882 39529 42693 45176 48792 56924 67764 79058 85386 107293 113848 118587 135528 158116 170772 214586 237174 316232 321879 341544 429172 474348 604229 643758 751051 858344 948696 1208458 1287516 1502102 1812687 2253153 2416916 2575032 3004204 3625374 4229603 4506306 4833832 6008408 7250748 8459206 9012612 11480351 12688809 14501496 16918412 18025224 22960702 25377618 33836824 34441053 45921404 50755236 68882106 80362457 91842808 101510472 137764212 160724914 241087371 275528424 321449828 482174742 642899656 964349484 1928698968