3024828000 has 288 divisors, whose sum is σ = 10891625472. Its totient is φ = 794880000.

The previous prime is 3024827951. The next prime is 3024828011. The reversal of 3024828000 is 8284203.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

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, 2627425 + ... + 2628575.

It is an arithmetic number, because the mean of its divisors is an integer number (37818144).

Almost surely, 2^3024828000 is an apocalyptic number.

3024828000 is a gapful number since it is divisible by the number (30) 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 3024828000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5445812736).

3024828000 is an abundant number, since it is smaller than the sum of its proper divisors (7866797472).

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

3024828000 is a wasteful number, since it uses less digits than its factorization.

3024828000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1255 (or 1234 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 3024828000 is about 54998.4363414088. The cubic root of 3024828000 is about 1446.2173304419.

The spelling of 3024828000 in words is "three billion, twenty-four million, eight hundred twenty-eight thousand".