4952428800 has 432 divisors, whose sum is σ = 18066343680. Its totient is φ = 1184768000.

The previous prime is 4952428787. The next prime is 4952428879. The reversal of 4952428800 is 88242594.

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, 27667111 + ... + 27667289.

It is an arithmetic number, because the mean of its divisors is an integer number (41820240).

Almost surely, 2^4952428800 is an apocalyptic number.

4952428800 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 4952428800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9033171840).

4952428800 is an abundant number, since it is smaller than the sum of its proper divisors (13113914880).

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

4952428800 is a wasteful number, since it uses less digits than its factorization.

4952428800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 350 (or 331 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 42.

The square root of 4952428800 is about 70373.4950105507. The cubic root of 4952428800 is about 1704.5356159691.

The spelling of 4952428800 in words is "four billion, nine hundred fifty-two million, four hundred twenty-eight thousand, eight hundred".