4950581328 has 600 divisors, whose sum is σ = 19191316320. Its totient is φ = 1214922240.

The previous prime is 4950581269. The next prime is 4950581333. The reversal of 4950581328 is 8231850594.

4950581328 is a `hidden beast` number, since 4 + 9 + 505 + 8 + 132 + 8 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 13272150 + ... + 13272522.

Almost surely, 2^4950581328 is an apocalyptic number.

4950581328 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 4950581328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9595658160).

4950581328 is an abundant number, since it is smaller than the sum of its proper divisors (14240734992).

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

4950581328 is a wasteful number, since it uses less digits than its factorization.

4950581328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 437 (or 415 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

The square root of 4950581328 is about 70360.3675942643. The cubic root of 4950581328 is about 1704.3236342248.

The spelling of 4950581328 in words is "four billion, nine hundred fifty million, five hundred eighty-one thousand, three hundred twenty-eight".