4221828000 has 768 divisors, whose sum is σ = 17259540480. Its totient is φ = 995328000.

The previous prime is 4221827993. The next prime is 4221828001. The reversal of 4221828000 is 8281224.

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

It is not an unprimeable number, because it can be changed into a prime (4221828001) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 43523952 + ... + 43524048.

It is an arithmetic number, because the mean of its divisors is an integer number (22473360).

Almost surely, 2^4221828000 is an apocalyptic number.

4221828000 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 4221828000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8629770240).

4221828000 is an abundant number, since it is smaller than the sum of its proper divisors (13037712480).

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

4221828000 is a wasteful number, since it uses less digits than its factorization.

4221828000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175 (or 151 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

The square root of 4221828000 is about 64975.5954185877. The cubic root of 4221828000 is about 1616.2188908801.

The spelling of 4221828000 in words is "four billion, two hundred twenty-one million, eight hundred twenty-eight thousand".