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28405549152 = 253617411747
BaseRepresentation
bin11010011101000110…
…100100100001100000
32201022122001102000000
4122131012210201200
5431133310033102
621014353300000
72023626120051
oct323506444140
981278042000
1028405549152
1111057212562
125608b64600
1328a8c53066
14153679a728
15b13b7401c
hex69d1a4860

28405549152 has 336 divisors, whose sum is σ = 90996342192. Its totient is φ = 8689213440.

The previous prime is 28405549141. The next prime is 28405549229. The reversal of 28405549152 is 25194550482.

28405549152 is a `hidden beast` number, since 2 + 8 + 4 + 0 + 554 + 91 + 5 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 28405549098 and 28405549107.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 16258743 + ... + 16260489.

It is an arithmetic number, because the mean of its divisors is an integer number (270822447).

Almost surely, 228405549152 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28405549152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45498171096).

28405549152 is an abundant number, since it is smaller than the sum of its proper divisors (62590793040).

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

28405549152 is a wasteful number, since it uses less digits than its factorization.

28405549152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1833 (or 1810 counting only the distinct ones).

The product of its (nonzero) digits is 576000, while the sum is 45.

The spelling of 28405549152 in words is "twenty-eight billion, four hundred five million, five hundred forty-nine thousand, one hundred fifty-two".