280723051728 has 420 divisors, whose sum is σ = 981386534340. Its totient is φ = 77436269568.

The previous prime is 280723051727. The next prime is 280723051733. The reversal of 280723051728 is 827150327082.

280723051728 is a `hidden beast` number, since 2 + 80 + 7 + 2 + 30 + 517 + 28 = 666.

280723051728 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 121990929984 + 158732121744 = 349272^2 + 398412^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (280723051727) by changing a digit.

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 83 ways as a sum of consecutive naturals, for example, 16566076 + ... + 16583012.

Almost surely, 2^280723051728 is an apocalyptic number.

280723051728 is a gapful number since it is divisible by the number (28) 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 280723051728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (490693267170).

280723051728 is an abundant number, since it is smaller than the sum of its proper divisors (700663482612).

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

280723051728 is a wasteful number, since it uses less digits than its factorization.

280723051728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17006 (or 16978 counting only the distinct ones).

The product of its (nonzero) digits is 376320, while the sum is 45.

The spelling of 280723051728 in words is "two hundred eighty billion, seven hundred twenty-three million, fifty-one thousand, seven hundred twenty-eight".