4950528000 has 416 divisors, whose sum is σ = 18032257152. Its totient is φ = 1196032000.

The previous prime is 4950527921. The next prime is 4950528031. The reversal of 4950528000 is 8250594.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16895854 + ... + 16896146.

It is an arithmetic number, because the mean of its divisors is an integer number (43346772).

Almost surely, 2^4950528000 is an apocalyptic number.

4950528000 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 4950528000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9016128576).

4950528000 is an abundant number, since it is smaller than the sum of its proper divisors (13081729152).

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

4950528000 is a wasteful number, since it uses less digits than its factorization.

4950528000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 346 (or 314 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 33.

The square root of 4950528000 is about 70359.9886299024. The cubic root of 4950528000 is about 1704.3175145060.

Adding to 4950528000 its reverse (8250594), we get a palindrome (4958778594).

The spelling of 4950528000 in words is "four billion, nine hundred fifty million, five hundred twenty-eight thousand".