4899828000 has 384 divisors, whose sum is σ = 17197899264. Its totient is φ = 1216512000.

The previous prime is 4899827951. The next prime is 4899828001. The reversal of 4899828000 is 8289984.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (4899828001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11315784 + ... + 11316216.

It is an arithmetic number, because the mean of its divisors is an integer number (44786196).

Almost surely, 2^4899828000 is an apocalyptic number.

4899828000 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 4899828000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8598949632).

4899828000 is an abundant number, since it is smaller than the sum of its proper divisors (12298071264).

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

4899828000 is a wasteful number, since it uses less digits than its factorization.

4899828000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 525 (or 507 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 48.

The square root of 4899828000 is about 69998.7714177899. The cubic root of 4899828000 is about 1698.4793784126.

The spelling of 4899828000 in words is "four billion, eight hundred ninety-nine million, eight hundred twenty-eight thousand".