49828086528 has 432 divisors, whose sum is σ = 151732562688. Its totient is φ = 14496768000.

The previous prime is 49828086439. The next prime is 49828086569. The reversal of 49828086528 is 82568082894.

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, 329987253 + ... + 329987403.

It is an arithmetic number, because the mean of its divisors is an integer number (351232784).

Almost surely, 2^49828086528 is an apocalyptic number.

49828086528 is a gapful number since it is divisible by the number (48) 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 49828086528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75866281344).

49828086528 is an abundant number, since it is smaller than the sum of its proper divisors (101904476160).

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

49828086528 is a wasteful number, since it uses less digits than its factorization.

49828086528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 312 (or 287 counting only the distinct ones).

The product of its (nonzero) digits is 17694720, while the sum is 60.

The spelling of 49828086528 in words is "forty-nine billion, eight hundred twenty-eight million, eighty-six thousand, five hundred twenty-eight".