49728044880 has 960 divisors, whose sum is σ = 194467553280. Its totient is φ = 11757312000.

The previous prime is 49728044867. The next prime is 49728044897. The reversal of 49728044880 is 8844082794.

49728044880 is a `hidden beast` number, since 49 + 7 + 2 + 80 + 448 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 191 ways as a sum of consecutive naturals, for example, 492356830 + ... + 492356930.

It is an arithmetic number, because the mean of its divisors is an integer number (202570368).

Almost surely, 2^49728044880 is an apocalyptic number.

49728044880 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 49728044880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97233776640).

49728044880 is an abundant number, since it is smaller than the sum of its proper divisors (144739508400).

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

49728044880 is a wasteful number, since it uses less digits than its factorization.

49728044880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 4128768, while the sum is 54.

The spelling of 49728044880 in words is "forty-nine billion, seven hundred twenty-eight million, forty-four thousand, eight hundred eighty".