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1028238582820 = 2252348710094549
BaseRepresentation
bin11101111011001111100…
…10111010010000100100
310122022001201022001201211
432331213302322100210
5113321313034122240
62104211041201204
7134200465513561
oct16754762722044
93568051261654
101028238582820
11367089968149
12147343030204
1375c6875c347
1437aa497d868
151bb30908bea
hexef67cba424

1028238582820 has 96 divisors (see below), whose sum is σ = 2260544832000. Its totient is φ = 392129869824.

The previous prime is 1028238582733. The next prime is 1028238582821. The reversal of 1028238582820 is 282858328201.

It is not an unprimeable number, because it can be changed into a prime (1028238582821) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 226033906 + ... + 226038454.

It is an arithmetic number, because the mean of its divisors is an integer number (23547342000).

Almost surely, 21028238582820 is an apocalyptic number.

1028238582820 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1028238582820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1130272416000).

1028238582820 is an abundant number, since it is smaller than the sum of its proper divisors (1232306249180).

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

1028238582820 is a wasteful number, since it uses less digits than its factorization.

1028238582820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6077 (or 6075 counting only the distinct ones).

The product of its (nonzero) digits is 983040, while the sum is 49.

The spelling of 1028238582820 in words is "one trillion, twenty-eight billion, two hundred thirty-eight million, five hundred eighty-two thousand, eight hundred twenty".

Divisors: 1 2 4 5 10 20 23 46 92 115 230 460 487 974 1009 1948 2018 2435 4036 4549 4870 5045 9098 9740 10090 11201 18196 20180 22402 22745 23207 44804 45490 46414 56005 90980 92828 104627 112010 116035 209254 224020 232070 418508 464140 491383 523135 982766 1046270 1965532 2092540 2215363 2456915 4430726 4589941 4913830 8861452 9179882 9827660 11076815 11301809 18359764 22153630 22603618 22949705 44307260 45207236 45899410 50953349 56509045 91798820 101906698 105568643 113018090 203813396 211137286 226036180 254766745 422274572 509533490 527843215 1019066980 1055686430 2111372860 2235301267 4470602534 8941205068 11176506335 22353012670 44706025340 51411929141 102823858282 205647716564 257059645705 514119291410 1028238582820