4828896000 has 648 divisors, whose sum is σ = 18827643744. Its totient is φ = 1231718400.

The previous prime is 4828895987. The next prime is 4828896041. The reversal of 4828896000 is 6988284.

It is a happy number.

4828896000 is a `hidden beast` number, since 482 + 88 + 96 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (648).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 209951989 + ... + 209952011.

Almost surely, 2^4828896000 is an apocalyptic number.

4828896000 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 4828896000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9413821872).

4828896000 is an abundant number, since it is smaller than the sum of its proper divisors (13998747744).

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

4828896000 is an frugal number, since it uses more digits than its factorization.

4828896000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78 (or 33 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The square root of 4828896000 is about 69490.2583100682. The cubic root of 4828896000 is about 1690.2435371406.

The spelling of 4828896000 in words is "four billion, eight hundred twenty-eight million, eight hundred ninety-six thousand".