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28720633300 = 225210314091979
BaseRepresentation
bin11010101111111000…
…100001010111010100
32202010120221100012021
4122233320201113110
5432304440231200
621105530502524
72034503232532
oct325770412724
982116840167
1028720633300
11111a9059987
125696594a44
132929302898
141566579152
15b3166241a
hex6afe215d4

28720633300 has 72 divisors (see below), whose sum is σ = 63005342400. Its totient is φ = 11362897920.

The previous prime is 28720633297. The next prime is 28720633351. The reversal of 28720633300 is 333602782.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14511711 + ... + 14513689.

It is an arithmetic number, because the mean of its divisors is an integer number (875074200).

Almost surely, 228720633300 is an apocalyptic number.

28720633300 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 28720633300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31502671200).

28720633300 is an abundant number, since it is smaller than the sum of its proper divisors (34284709100).

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

28720633300 is a wasteful number, since it uses less digits than its factorization.

28720633300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3505 (or 3498 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 34.

The spelling of 28720633300 in words is "twenty-eight billion, seven hundred twenty million, six hundred thirty-three thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 100 103 206 412 515 1030 1409 1979 2060 2575 2818 3958 5150 5636 7045 7916 9895 10300 14090 19790 28180 35225 39580 49475 70450 98950 140900 145127 197900 203837 290254 407674 580508 725635 815348 1019185 1451270 2038370 2788411 2902540 3628175 4076740 5095925 5576822 7256350 10191850 11153644 13942055 14512700 20383700 27884110 55768220 69710275 139420550 278841100 287206333 574412666 1148825332 1436031665 2872063330 5744126660 7180158325 14360316650 28720633300