3028006800 has 900 divisors, whose sum is σ = 13618830720. Its totient is φ = 630789120.

The previous prime is 3028006693. The next prime is 3028006829. The reversal of 3028006800 is 86008203.

It is a tau number, because it is divible by the number of its divisors (900).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 38329161 + ... + 38329239.

Almost surely, 2^3028006800 is an apocalyptic number.

3028006800 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 3028006800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6809415360).

3028006800 is an abundant number, since it is smaller than the sum of its proper divisors (10590823920).

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

3028006800 is a wasteful number, since it uses less digits than its factorization.

3028006800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 3028006800 is about 55027.3277563067. The cubic root of 3028006800 is about 1446.7237643255.

The spelling of 3028006800 in words is "three billion, twenty-eight million, six thousand, eight hundred".