48928619520 has 528 divisors, whose sum is σ = 187338033792. Its totient is φ = 11708497920.

The previous prime is 48928619507. The next prime is 48928619569. The reversal of 48928619520 is 2591682984.

It is a happy number.

48928619520 is a `hidden beast` number, since 4 + 89 + 28 + 6 + 19 + 520 = 666.

It is a tau number, because it is divible by the number of its divisors (528).

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 47 ways as a sum of consecutive naturals, for example, 42070459 + ... + 42071621.

Almost surely, 2^48928619520 is an apocalyptic number.

48928619520 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 48928619520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93669016896).

48928619520 is an abundant number, since it is smaller than the sum of its proper divisors (138409414272).

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

48928619520 is a wasteful number, since it uses less digits than its factorization.

48928619520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1288 (or 1267 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 54.

The spelling of 48928619520 in words is "forty-eight billion, nine hundred twenty-eight million, six hundred nineteen thousand, five hundred twenty".