49828504320 has 720 divisors, whose sum is σ = 206849922048. Its totient is φ = 11217346560.

The previous prime is 49828504301. The next prime is 49828504331. The reversal of 49828504320 is 2340582894.

49828504320 is a `hidden beast` number, since 4 + 98 + 28 + 504 + 32 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 51528477 + ... + 51529443.

Almost surely, 2^49828504320 is an apocalyptic number.

49828504320 is a gapful number since it is divisible by the number (40) 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 49828504320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103424961024).

49828504320 is an abundant number, since it is smaller than the sum of its proper divisors (157021417728).

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

49828504320 is an equidigital number, since it uses as much as digits as its factorization.

49828504320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1078 (or 1055 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 49828504320 in words is "forty-nine billion, eight hundred twenty-eight million, five hundred four thousand, three hundred twenty".