49928296320 has 384 divisors, whose sum is σ = 204340631040. Its totient is φ = 11411933184.

The previous prime is 49928296291. The next prime is 49928296333. The reversal of 49928296320 is 2369282994.

49928296320 is a `hidden beast` number, since 4 + 9 + 9 + 28 + 296 + 320 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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 polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1065709 + ... + 1111571.

It is an arithmetic number, because the mean of its divisors is an integer number (532137060).

Almost surely, 2^49928296320 is an apocalyptic number.

49928296320 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 49928296320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102170315520).

49928296320 is an abundant number, since it is smaller than the sum of its proper divisors (154412334720).

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

49928296320 is an equidigital number, since it uses as much as digits as its factorization.

49928296320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45904 (or 45880 counting only the distinct ones).

The product of its (nonzero) digits is 3359232, while the sum is 54.

The spelling of 49928296320 in words is "forty-nine billion, nine hundred twenty-eight million, two hundred ninety-six thousand, three hundred twenty".