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28442298528 = 253572174391
BaseRepresentation
bin11010011111010010…
…110000100010100000
32201102012012110200000
4122133102300202200
5431222212023103
621022145100000
72024553356100
oct323722604240
981365173600
1028442298528
1111075a32946
125619327600
1328b374c157
14153b605200
15b16ed2aa3
hex69f4b08a0

28442298528 has 432 divisors, whose sum is σ = 103335994944. Its totient is φ = 7646607360.

The previous prime is 28442298481. The next prime is 28442298553. The reversal of 28442298528 is 82589224482.

28442298528 is a `hidden beast` number, since 2 + 8 + 4 + 4 + 22 + 98 + 528 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 6475213 + ... + 6479603.

It is an arithmetic number, because the mean of its divisors is an integer number (239203692).

Almost surely, 228442298528 is an apocalyptic number.

28442298528 is a gapful number since it is divisible by the number (28) 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 28442298528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51667997472).

28442298528 is an abundant number, since it is smaller than the sum of its proper divisors (74893696416).

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

28442298528 is a wasteful number, since it uses less digits than its factorization.

28442298528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4447 (or 4420 counting only the distinct ones).

The product of its digits is 5898240, while the sum is 54.

The spelling of 28442298528 in words is "twenty-eight billion, four hundred forty-two million, two hundred ninety-eight thousand, five hundred twenty-eight".