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1028316429800 = 235211641729199
BaseRepresentation
bin11101111011011000110…
…11110111110111101000
310122022021010210002201022
432331230123313313220
5113321443001223200
62104222501512012
7134202432301652
oct16755433676750
93568233702638
101028316429800
113671198a87a0
12147365112608
1375c7b91774a
1437ab10456d2
151bb37684885
hexef6c6f7de8

1028316429800 has 96 divisors (see below), whose sum is σ = 2612256912000. Its totient is φ = 373349376000.

The previous prime is 1028316429799. The next prime is 1028316429841. The reversal of 1028316429800 is 89246138201.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1045601 + ... + 1774799.

It is an arithmetic number, because the mean of its divisors is an integer number (27211009500).

Almost surely, 21028316429800 is an apocalyptic number.

1028316429800 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 1028316429800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1306128456000).

1028316429800 is an abundant number, since it is smaller than the sum of its proper divisors (1583940482200).

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

1028316429800 is a wasteful number, since it uses less digits than its factorization.

1028316429800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 729867 (or 729858 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 44.

The spelling of 1028316429800 in words is "one trillion, twenty-eight billion, three hundred sixteen million, four hundred twenty-nine thousand, eight hundred".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 200 220 275 440 550 641 1100 1282 2200 2564 3205 5128 6410 7051 12820 14102 16025 25640 28204 32050 35255 56408 64100 70510 128200 141020 176275 282040 352550 705100 729199 1410200 1458398 2916796 3645995 5833592 7291990 8021189 14583980 16042378 18229975 29167960 32084756 36459950 40105945 64169512 72919900 80211890 145839800 160423780 200529725 320847560 401059450 467416559 802118900 934833118 1604237800 1869666236 2337082795 3739332472 4674165590 5141582149 9348331180 10283164298 11685413975 18696662360 20566328596 23370827950 25707910745 41132657192 46741655900 51415821490 93483311800 102831642980 128539553725 205663285960 257079107450 514158214900 1028316429800