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28247256576 = 2933721117223
BaseRepresentation
bin11010010011101010…
…101110111000000000
32200220121012022102000
4122103222232320000
5430322244202301
620550540424000
72016664501500
oct322352567000
980817168360
1028247256576
1110a85926a50
125583b48000
13288220c806
14151d753a00
15b04d07786
hex693aaee00

28247256576 has 960 divisors, whose sum is σ = 112852776960. Its totient is φ = 6874398720.

The previous prime is 28247256563. The next prime is 28247256629. The reversal of 28247256576 is 67565274282.

28247256576 is a `hidden beast` number, since 2 + 8 + 2 + 4 + 7 + 2 + 565 + 76 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 126669201 + ... + 126669423.

It is an arithmetic number, because the mean of its divisors is an integer number (117554976).

Almost surely, 228247256576 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 28247256576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56426388480).

28247256576 is an abundant number, since it is smaller than the sum of its proper divisors (84605520384).

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

28247256576 is a wasteful number, since it uses less digits than its factorization.

28247256576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 292 (or 263 counting only the distinct ones).

The product of its digits is 11289600, while the sum is 54.

The spelling of 28247256576 in words is "twenty-eight billion, two hundred forty-seven million, two hundred fifty-six thousand, five hundred seventy-six".