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28773709440 = 2735721916097
BaseRepresentation
bin11010110011000010…
…111111011010000000
32202021021210212222020
4122303002333122000
5432412032200230
621115104241440
72036016331500
oct326302773200
982237725866
1028773709440
1111226010863
1256b0310280
1329372c7198
14156d633a00
15b36148810
hex6b30bf680

28773709440 has 384 divisors, whose sum is σ = 112312526400. Its totient is φ = 6230310912.

The previous prime is 28773709439. The next prime is 28773709453. The reversal of 28773709440 is 4490737782.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×287737094402 (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1779472 + ... + 1795568.

Almost surely, 228773709440 is an apocalyptic number.

28773709440 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 28773709440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56156263200).

28773709440 is an abundant number, since it is smaller than the sum of its proper divisors (83538816960).

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

28773709440 is a wasteful number, since it uses less digits than its factorization.

28773709440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16152 (or 16133 counting only the distinct ones).

The product of its (nonzero) digits is 2370816, while the sum is 51.

The spelling of 28773709440 in words is "twenty-eight billion, seven hundred seventy-three million, seven hundred nine thousand, four hundred forty".