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28133506880 = 2653114231993
BaseRepresentation
bin11010001100111000…
…110011111101000000
32200121200011020011022
4122030320303331000
5430104134210010
620531354405012
72014113601643
oct321470637500
980550136138
1028133506880
1110a276a4136
125551a30768
1328647937bb
14150c5c3a5a
15ae9d38d55
hex68ce33f40

28133506880 has 112 divisors (see below), whose sum is σ = 69237295104. Its totient is φ = 10877276160.

The previous prime is 28133506879. The next prime is 28133506901. The reversal of 28133506880 is 8860533182.

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 15 ways as a sum of consecutive naturals, for example, 14115164 + ... + 14117156.

Almost surely, 228133506880 is an apocalyptic number.

28133506880 is a gapful number since it is divisible by the number (20) 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 28133506880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34618647552).

28133506880 is an abundant number, since it is smaller than the sum of its proper divisors (41103788224).

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

28133506880 is a wasteful number, since it uses less digits than its factorization.

28133506880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3464 (or 3454 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 44.

The spelling of 28133506880 in words is "twenty-eight billion, one hundred thirty-three million, five hundred six thousand, eight hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 31 32 40 62 64 80 124 155 160 248 310 320 496 620 992 1240 1423 1984 1993 2480 2846 3986 4960 5692 7115 7972 9920 9965 11384 14230 15944 19930 22768 28460 31888 39860 44113 45536 56920 61783 63776 79720 88226 91072 113840 123566 127552 159440 176452 220565 227680 247132 308915 318880 352904 441130 455360 494264 617830 637760 705808 882260 988528 1235660 1411616 1764520 1977056 2471320 2823232 2836039 3529040 3954112 4942640 5672078 7058080 9885280 11344156 14116160 14180195 19770560 22688312 28360390 45376624 56720780 87917209 90753248 113441560 175834418 181506496 226883120 351668836 439586045 453766240 703337672 879172090 907532480 1406675344 1758344180 2813350688 3516688360 5626701376 7033376720 14066753440 28133506880