4251828000 has 384 divisors, whose sum is σ = 16259443200. Its totient is φ = 970905600.

The previous prime is 4251827981. The next prime is 4251828019. The reversal of 4251828000 is 8281524.

It is an interprime number because it is at equal distance from previous prime (4251827981) and next prime (4251828019).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4115484 + ... + 4116516.

It is an arithmetic number, because the mean of its divisors is an integer number (42342300).

Almost surely, 2^4251828000 is an apocalyptic number.

4251828000 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 4251828000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8129721600).

4251828000 is an abundant number, since it is smaller than the sum of its proper divisors (12007615200).

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

4251828000 is a wasteful number, since it uses less digits than its factorization.

4251828000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1082 (or 1050 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 30.

The square root of 4251828000 is about 65206.0426647715. The cubic root of 4251828000 is about 1620.0381030514.

The spelling of 4251828000 in words is "four billion, two hundred fifty-one million, eight hundred twenty-eight thousand".