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28304303040 = 2634513194421
BaseRepresentation
bin11010010111000100…
…010110001111000000
32201001120112120110000
4122113010112033000
5430431400144130
621000335240000
72021256414636
oct322704261700
981046476400
1028304303040
111100504a892
12559b079000
132890c94310
141527163356
15b09d25260
hex6971163c0

28304303040 has 560 divisors, whose sum is σ = 114160828320. Its totient is φ = 6599024640.

The previous prime is 28304303029. The next prime is 28304303107. The reversal of 28304303040 is 4030340382.

28304303040 is a `hidden beast` number, since 28 + 304 + 30 + 304 + 0 = 666.

It is a super-2 number, since 2×283043030402 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 28304302995 and 28304303013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 6400030 + ... + 6404450.

It is an arithmetic number, because the mean of its divisors is an integer number (203858622).

Almost surely, 228304303040 is an apocalyptic number.

28304303040 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 28304303040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57080414160).

28304303040 is an abundant number, since it is smaller than the sum of its proper divisors (85856525280).

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

28304303040 is a wasteful number, since it uses less digits than its factorization.

28304303040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4482 (or 4463 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

The spelling of 28304303040 in words is "twenty-eight billion, three hundred four million, three hundred three thousand, forty".