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28903680000 = 211325413193
BaseRepresentation
bin11010111010110010…
…110010100000000000
32202121100101002001200
4122322302302200000
5433143320230000
621140030101200
72042155140426
oct327262624000
982540332050
1028903680000
1111292412648
12572794a800
132958202440
1415829c7116
15b4276d500
hex6bacb2800

28903680000 has 720 divisors, whose sum is σ = 112921869060. Its totient is φ = 7077888000.

The previous prime is 28903679999. The next prime is 28903680011. The reversal of 28903680000 is 8630982.

It can be written as a sum of positive squares in 10 ways, for example, as 9607136256 + 19296543744 = 98016^2 + 138912^2 .

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 149759904 + ... + 149760096.

Almost surely, 228903680000 is an apocalyptic number.

28903680000 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 28903680000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56460934530).

28903680000 is an abundant number, since it is smaller than the sum of its proper divisors (84018189060).

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

28903680000 is a wasteful number, since it uses less digits than its factorization.

28903680000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 254 (or 216 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The spelling of 28903680000 in words is "twenty-eight billion, nine hundred three million, six hundred eighty thousand".