53782456728 has 256 divisors, whose sum is σ = 181356134400. Its totient is φ = 12835791360.

The previous prime is 53782456703. The next prime is 53782456751. The reversal of 53782456728 is 82765428735.

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 5352333 + ... + 5362371.

It is an arithmetic number, because the mean of its divisors is an integer number (708422400).

Almost surely, 2^53782456728 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 53782456728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90678067200).

53782456728 is an abundant number, since it is smaller than the sum of its proper divisors (127573677672).

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

53782456728 is a wasteful number, since it uses less digits than its factorization.

53782456728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10302 (or 10298 counting only the distinct ones).

The product of its digits is 22579200, while the sum is 57.

The spelling of 53782456728 in words is "fifty-three billion, seven hundred eighty-two million, four hundred fifty-six thousand, seven hundred twenty-eight".