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28806336000 = 293253133847
BaseRepresentation
bin11010110100111111…
…011100111000000000
32202100120012111012100
4122310333130320000
5432443410223000
621122231430400
72036563546611
oct326477347000
982316174170
1028806336000
1111242475662
1256bb225400
132940cab840
141573ac7c08
15b38e40a00
hex6b4fdce00

28806336000 has 480 divisors, whose sum is σ = 111765221568. Its totient is φ = 7088947200.

The previous prime is 28806335989. The next prime is 28806336017. The reversal of 28806336000 is 63360882.

It is a tau number, because it is divible by the number of its divisors (480).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7486077 + ... + 7489923.

Almost surely, 228806336000 is an apocalyptic number.

28806336000 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 28806336000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55882610784).

28806336000 is an abundant number, since it is smaller than the sum of its proper divisors (82958885568).

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

28806336000 is a wasteful number, since it uses less digits than its factorization.

28806336000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3899 (or 3870 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

Adding to 28806336000 its reverse (63360882), we get a palindrome (28869696882).

The spelling of 28806336000 in words is "twenty-eight billion, eight hundred six million, three hundred thirty-six thousand".