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28544961060 = 223357111375011
BaseRepresentation
bin11010100101011010…
…011000101000100100
32201200100101021012000
4122211122120220210
5431430002223220
621040253325300
72030241110550
oct324532305044
981610337160
1028544961060
1111118982810
125647796830
1328cbab5805
14154b0ca860
15b21011390
hex6a5698a24

28544961060 has 384 divisors, whose sum is σ = 111550279680. Its totient is φ = 5886950400.

The previous prime is 28544961047. The next prime is 28544961061. The reversal of 28544961060 is 6016944582.

28544961060 is a `hidden beast` number, since 2 + 8 + 54 + 496 + 106 + 0 = 666.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 28544960997 and 28544961015.

It is not an unprimeable number, because it can be changed into a prime (28544961061) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 5693955 + ... + 5698965.

It is an arithmetic number, because the mean of its divisors is an integer number (290495520).

Almost surely, 228544961060 is an apocalyptic number.

28544961060 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 28544961060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55775139840).

28544961060 is an abundant number, since it is smaller than the sum of its proper divisors (83005318620).

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

28544961060 is a wasteful number, since it uses less digits than its factorization.

28544961060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5184 (or 5176 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 28544961060 in words is "twenty-eight billion, five hundred forty-four million, nine hundred sixty-one thousand, sixty".