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28458791424 = 2935741797
BaseRepresentation
bin11010100000010001…
…101011001000000000
32201110100020101200000
4122200101223020000
5431240422311144
621023534400000
72025143510250
oct324021531000
981410211600
1028458791424
1111084278238
125622960000
1328b6ca516b
14153d899960
15b1868e769
hex6a046b200

28458791424 has 480 divisors, whose sum is σ = 99843359616. Its totient is φ = 7922810880.

The previous prime is 28458791407. The next prime is 28458791509. The reversal of 28458791424 is 42419785482.

28458791424 is a `hidden beast` number, since 2 + 84 + 58 + 7 + 91 + 424 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 35706994 + ... + 35707790.

Almost surely, 228458791424 is an apocalyptic number.

28458791424 is a gapful number since it is divisible by the number (24) 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 28458791424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49921679808).

28458791424 is an abundant number, since it is smaller than the sum of its proper divisors (71384568192).

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

28458791424 is an frugal number, since it uses more digits than its factorization.

28458791424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 878 (or 850 counting only the distinct ones).

The product of its digits is 5160960, while the sum is 54.

The spelling of 28458791424 in words is "twenty-eight billion, four hundred fifty-eight million, seven hundred ninety-one thousand, four hundred twenty-four".